Converting Fractions
Convert to an improper fraction:
2 1/3
7/3
Order from smallest to largest:
1/2, 2 1/4, 3/2
1/2, 3/2, 2 1/4
Add:
2 1/4 + 3/4
3
A student eats 1 1/4 pizzas and then another 3/4 pizza.
How much did they eat in total?
2 pizzas
To ____ by a ____, here's a _____,
_____, ______, _____!
To divide by a fraction, here's a tip, keep, change flip!
Convert to a mixed number:22/7
3 1/7
Order from smallest to largest:
5/6, 1 1/2, 7/12
7/12, 5/6, 1 1/2
Subtract:
3 1/2 – 2/3
17/6 or 2 5/6
A recipe uses 1 1/2 cups of juice and 2/3 cup of another ingredient.
What is the total amount?
13/6 or 2 1/6 cups
To create equivalent fractions, you must multiply or divide both the ______ and the ______ by the same ______.
numerator, denominator, number
Convert to an improper fraction and simplify if needed:
4 6/8
38/8 = 19/4
Order from smallest to largest:
9/4, 5/6, 1 5/12
5/6, 1 5/12, 9/4
Multiply:
1 2/3 × 3/5
5/3 or 1 2/3
One-third of students chose pizza, one-fourth chose burgers, and 1/6 chose pasta.
What fraction chose something else?
1/3 + 1/4 + 1/6 = 3/4 → Remaining = 1/4
To simplify a fraction completely, divide both the numerator and denominator by their greatest common ______ until the fraction is in ______ form.
factor, simplest
Convert to a mixed number and simplify fully:
45/9
5
Order from greatest to least:
3/5, 1 3/10, 4/6, 11/15
1 3/10, 11/15, 4/6, 3/5
Divide:
2 1/4 ÷ 3/4
3
A runner completes 3/4 km per lap for 5 laps.
Another runs 1 1/2 km per lap for 3 laps.
Who ran farther and by how much?
Runner 1: 15/4 = 3.75 km
Runner 2: 9/2 = 4.5 km
Runner 2 ran farther by 3/4 km
To add or subtract fractions, first find a common ______, then rewrite each fraction as an ______ fraction before solving.
denominator, equivalent
A student converts 3 4/6 into an improper fraction and gets 22/6.
Then they simplify to 11/3.
Is their final answer correct? Explain.
Yes.
3 4/6 = 22/6, and 22/6 simplifies to 11/3 (or 3 2/3), so the result is correct.
Order from least to greatest:
2 1/3, 7/4, 5/6, 11/6
Explain your strategy.
5/6, 7/4, 11/6, 2 1/3
Evaluate:
1 1/2 + (3/4 × 2/3) – 1/6
3/2 + 1/2 – 1/6 = 2 – 1/6 = 11/6 (1 5/6)
A large container is filled with juice.
First, 2/5 of the juice is poured out.
Then, 1/2 of the remaining juice is poured out.
Finally, 3/4 of what is left is poured into cups.
What fraction of the original juice is left in the container?
Start with 1 whole:
After first step:
1 − 2/5 = 3/5 remaining
Second step:
1/2 of 3/5 = 3/10 poured out
Remaining: 3/5 − 3/10 = 3/10
Third step:
3/4 of 3/10 = 9/40 poured out
Remaining: 3/10 − 9/40 = 12/40 − 9/40 = 3/40
To convert a mixed number to an improper fraction:
Multiply the ______ number by the ______, then add the ______ to get the new numerator. Keep the same ______.
whole, denominator, numerator, denominator