# data[].attributes.attachment_link.description
Comparing Decimals, Fractions, and Mixed Numbers

# data[].attributes.attachment_link.title
Fractions - Multiplying mixed numbers - Workout

# data[].attributes.attachment_link.description
'; newWindow = window.open("","","height=200,width=300"); newWindow.document.write(tHTM); newWindow.document.close(); // center the window if (document.layers) { var sinist = screen.width / 2 - outerWidth / 2; var toppo = screen.height / 2 - outerHeight / 2; } else { var sinist = screen.width / 2 - newWindow.document.body.offsetWidth / 2; var toppo = -75 + screen.height / 2 - newWindow.document.body.offsetHeight / 2; } newWindow.moveTo(sinist, toppo); } //-->

# data[].attributes.attachment_link.title
Flocabulary - Dividing Fractions - Keep, Change, Flip

# data[].attributes.attachment_link.description
See the full lyrics and lesson plan at http://www.flocabulary.com/divide-fractions/ This educational hip-hop song uses the 'Keep, Change, Flip' mnemonic to teach students how to divide fractions.

# data[].attributes.body
You can only do 20 practice problems per day!

# data[].attributes.attachment_link.title
Practicing Sixth grade math: 'Divide fractions'

# data[].attributes.attachment_link.description
Fun math practice! Improve your skills with free problems in 'Divide fractions' and thousands of other practice lessons.

# data[].attributes.headline
Help and Practice multiplying mixed numbers

# data[].attributes.subject
Help and Practice multiplying mixed numbers

# data[].attributes.attachment_link.readable_text
To multiply Mixed Fractions:

Think of Pizzas.

1 3 8 is 1 pizza and 3 eighths of another pizza.

And, lastly, convert to a mixed fraction (only because the original fraction was in that form):
And this is what it looks like in one line:
Do the steps from above:

1. convert to Improper Fractions

2. Multiply the Fractions

3. convert the result back to Mixed Fractions

Step, by step it is:

Convert Mixed to Improper Fractions:

Multiply the fractions (multiply the top numbers, multiply bottom numbers):

Convert to a mixed number

If you are clever you can do it all in one line like this:

Convert Mixed to Improper Fractions:

Multiply

Convert to a mixed number:

And simplify:
Here it is in one line:
Convert Mixed to Improper Fractions:

Then multiply the Improper Fractions (Note: negative times negative gives positive) :

We can simplify now. Here we use two steps, first by 7 (21 and 63 are both multiples of 7), then again by 3. But it could be done in one step by dividing by 21:

Finally convert to a Mixed Fraction (because that was the style of the question):

# data[].attributes.attachment_link.description
To multiply Mixed Fractions: Think of Pizzas. 1 3 8 is 1 pizza and 3 eighths of another pizza.

# data[].attributes.attachment_link.readable_text
Multiply 1 and 3/4 times 7 and 1/5. Simplify your answer and write it as a mixed fraction. So the first thing we want to do is rewrite each of these mixed numbers as improper fractions. It's very difficult, or at least it's not easy for me, to directly multiply mixed numbers. One can do it, but it's much easier if you just make them improper fractions. So let's convert each of them. So 1 and 3/4 is equal to-- it's still going to be over 4, so you're still going to have the same denominator, but your numerator as an improper fraction is going to be 4 times 1 plus 3. And the reason why this makes sense is 1 is 4/4, or 1 is 4 times 1 fourths, right? 1 is the same thing as 4/4, and then you have three more fourths, so 4/4 plus 3/4 will give you 7/4. So that's the same thing as 1 and 3/4. Now, let's do 7 and 1/5. Same exact process. We're going to still be talking in terms of fifths. That's going to be the denominator. You take 5 times 7, because think about it. 7 is the same thing as 35/5. So you take 5 times 7 plus this numerator right here. So 7 is 35/5, then you have one more fifth, so you're going to have 35 plus 1, which is equal to 36/5. So this product is the exact same thing as taking the product of 7/4 times 36/5. And we could multiply it out right now. Take the 7 times 36 as our new numerator, 4 times 5 as our new denominator, but that'll give us large numbers. I can't multiply 7 and 36 in my head, or I can't do it too easily. So let's see if we can simplify this first. Both our numerator and our denominator have numbers that are divisible by 4, so let's divide both the numerator and the denominator by 4. So in the numerator, we can divide the 36 by 4 and get 9. If you divide something in the numerator by 4, you need to divide something in the denominator by 4, and the 4 is the obvious guy, so 4 divided by 4 is 1. So now this becomes 7 times 9, and what's the 7 times 9? It's 63, over 1 times 5. So now we have our answer as an improper fraction, but they want it as a mixed number or as a mixed fraction. So what are 63/5? So to figure that out-- let me pick a nice color here-- we take 5 into 63. 5 goes into 6 one time. 1 times 5 is 5. You subtract. 6 minus 5 is 1. Bring down the 3. 5 goes into 13 two times. And you could have immediately said 5 goes into 63 twelve times, but this way, at least to me, it's a little bit more obvious. And then 2 times 5 is 12, and then we have sorry! 2 times 5 is 10. That tells you not to switch gears in the middle of a math problem. 2 times 5 is 10, and then you subtract, and you have a remainder of 3. So 63/5 is the same thing as 12 wholes and 3 left over, or 3/5 left over. And if you wanted to go back from this to that, just think: 12 is the same thing as 60 fifths, or 60/5. 60/5 plus 3/5 is 63/5, so these two things are the same thing. These two things are equivalent. This is as an improper fraction. This is as a mixed number or a mixed fraction. But this is our answer right there: 12 and 3/5.

# data[].attributes.attachment_link.title
Multiplying mixed numbers (video) | Khan Academy

# data[].attributes.attachment_link.description
Multiply 1 and 3/4 times 7 and 1/5. Simplify your answer and write it as a mixed fraction. So the first thing we want to do is rewrite each of these mixed numbers as improper fractions. It's very difficult, or at least it's not easy for me, to directly multiply mixed numbers.

# data[].attributes.headline
Notes on Multiplying Fractions and Mixed Numbers

# data[].attributes.subject
Notes on Multiplying Fractions and Mixed Numbers

# data[].attributes.body
Here is a scan of notes on multiplying fractions

# data[].attributes.body
Check your speed and accuracy!

# data[].attributes.attachment_link.title
XP Math - Math Games Arcade - Fractions Multiplication - FREE

# data[].attributes.attachment_link.description
Mr. Hui's XP Math features free math games aligned to Common Core State Standards: Number Sense and Operations, Algebra, Geometry, Measurement, and Data Analysis and Probability.

# data[].attributes.body
Soccer game with multiplying fractions

# data[].attributes.attachment_link.readable_text
Practice multiplying fractions by playing this fun Multiplying Fractions Soccer Game. Solve the math problem and get a chance to kick the soccer ball to try to give your "team" a goal.

In this game students will discover that numbers can be written as the sums and differences of other numbers. The game can be played alone, in pairs, or in teams. This game can be played on computers, iPads, and other tablets. You do not need to install an app to play this game on the iPad.

The game is based on the following Common Core Math Standard:

The game is based on the following Common Core Math Standards:

CCSS5.NF.4.a
Interpret the product (a/b) × q as a parts of a partition of q
into b equal parts; equivalently, as the result of a sequence of
operations a × q ÷ b. For example, use a visual fraction model to
show (2/3) × 4 = 8/3, and create a story context for this equation. Do
the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)

CCSS5.NF.5.a
Interpret multiplication as scaling (resizing), by:
Comparing the size of a product to the size of one factor on
the basis of the size of the other factor, without performing the
indicated multiplication.

# data[].attributes.attachment_link.description
Practice multiplying fractions by playing this fun Multiplying Fractions Soccer Game. Solve the math problem and get a chance to kick the soccer ball to try to give your "team" a goal. In this game students will discover that numbers can be written as the sums and differences of other numbers.

# data[].attributes.body
Snow Sprint Game

(TURN OFF THE SOUND)

# data[].attributes.attachment_link.readable_text
Mental Math - multiply fractions
Problem Solving - identify equivalent fractions

Common Core Connection for Grades 4 and 5

Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

# data[].attributes.attachment_link.description
Mental Math - multiply fractions Problem Solving - identify equivalent fractions Common Core Connection for Grades 4 and 5 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

# data[].attributes.body
Explains multiplying fractions

# data[].attributes.attachment_link.description
♫ "Multiplying fractions: no big problem, Top times top over bottom times bottom. "And don't forget to simplify, Before it's time to say goodbye" ♫