Order & Compare Fractions
Write ⅗, ¾, and 4/10 in order from least to greatest.
4/10 < ⅗ < ¾
Add: 1⁄2 + 3⁄4 + 1⁄8 =
1 3⁄8
Mia drank 1 1⁄2 cups of juice and then 2⁄3 cup more. How much total?
2 1⁄6 cups
Find the missing numerator: ?⁄24 = ¾
18
Define numerator.
The top number of a fraction that shows how many equal parts of the whole that we have.
Using >, <, or ="
Compare: 2/5 ___ 7⁄15
2/5 < 7⁄15
Subtract: 1 – ⅗ – 1/10 =
3⁄10
A farmer harvested 5½ bushels of apples and sold 3¾ bushels. How many left?
1¾ bushels
Find the missing numerator: 2⁄5 = ?⁄55.
22
Define denominator.
The bottom number of a fraction that shows how many equal parts make a whole.
Write 3⁄8, 5⁄6, and 2⁄3 in order from least to greatest.
3⁄8, 2⁄3, 5⁄6
Add: 2⅔+ 5⅙ + ½ =
8 ⅓
A recipe calls for 2⁄3 cup milk and 1⁄4 cup oil. How much total liquid?
11⁄12 cups total liquid
Find the LCM of the following fraction's denominators: 1/2, 3/4, 5/6, 2/9.
Then, convert each fraction to an equivalent fraction whose denominator is that LCM.
Finally, find their combined value.
LCM Common Denominator: 36ths.
Converted fractions: 18/36, 27/36, 30/36, & 8/36.
Combined value: 83/36 or 2 11/36
What is a mixed number? Give an example.
A number made of a whole number and a fraction.
E.g. 3⅗
Using >, <, or =:
Compare: ⁵⁄₁₂ ___ ¹⁄₂
Compare: 9⁄16 ___ ¹⁄₂
Compare: 32/64 ___ ¹⁄₂
Compare: ⁵⁄₁₂ ___ 4/7
⁵⁄₁₂ < ¹⁄₂
9⁄16 > ¹⁄₂
32/64 = ¹⁄₂
⁵⁄₁₂ < 4/7
Simplify: (4⁄5 + 1⁄5) – 3⁄10 =
Liam ran 2 ⅓ miles Monday and 1 ¾ miles Tuesday. Total distance?
4 1⁄12 miles
Simplify the following fractions.
2/12, 18/24, 48/60, & 175/200
1/6, 3/4, 4/5, & 7/8
Why must fractions have a common denominator to add or subtract?
Because fractions must refer to the same-sized parts to combine accurately.
Write 4⁄5, 3/4, 3/2, 75/100, 0/1, 1/2, 2/5 and 7⁄10 in order from least to greatest.
0/1, 2/5, 1/2, 67/100, 7/10, 75/100, 4/5, 3/2
Subtract: (7⁄8 + 1⁄4) – 5⁄8 =
A ribbon is 8 ⅛ ft long. How many 2 ⅝ ft sections can be cut from it and how much leftover ribbon remains?
3 sections measuring 2⅝ ft can be cut from the given ribbon and ¼ ft ribbon remains.
Convert 63/90 to an equivalent fraction whose denominator is 100.
70/100
Explain how equivalent fractions help with fraction operations and give an example.
They let us rewrite fractions with a new denominator while keeping the same overall value. This allows us to convert fractions so they can be more readily added, subtracted, multiplied, or divided.
E.g. By quintupling the numerator and denominator of 17/20, we can see what it's value is as a percentage out of 100.