Equivalent fractions
Show one way to make an equivalent fraction for 1/2 by multiplying numerator and denominator by the same number. State your equivalent fraction and the number you multiplied by.
Multiply numerator and denominator by 2
Write 3/4 as a sum of three equal unit fractions.
3/4= 1/4 + 1/4 + 1/4
Write 5/3 as a mixed number.
5/3 = 1 2/3
Maya has 2/3 of a yard of ribbon. She cuts it into three equal pieces. How long is each piece in unit fractions?
2/9 yard
Which is larger: 2/5 or 3/8?
2/5 > 3/8
Are 2/3 and 4/6 equivalent? Explain using multiplication of numerator and denominator.
yes. Multiply numerator and denominator of 2/3 by 2 to get 4/6
Decompose 5/6 into a sum of 1/6 parts. How many 1/6 parts are there
5/6 = 1/6 + 1/6 + 1/6 + 1/6+1/6
Add:1 1/4+3/4. Write your answer as a mixed number or whole number.
2
A recipe needs 3/4 cup of oil. If you make half the recipe, how much oil do you need? Show your work.
3/8 cup
Convert 9/4 to a mixed number
9/4 = 2 1/4
Find two different equivalent fractions for 3/5. Show the multiplication you used for each.
multiply by 2:
Write 7/8 as a sum of two fractions with denominator 8 (not both unit fractions)
7/8 = 3/8 + 4/8
Subtract: 2 2/5−1 3/5. Show your steps.
4/5
A board is 7/4 feet long. If you need pieces of 1/4 foot each, how many pieces can you cut? Explain.
7 pieces
Subtract: 5/6−1/3.
3/6 = 1/2
Using a visual model (draw or describe), explain why 2/4 is equivalent to 1/2.
Split a circle into 2 equal parts; each part is 1/2. Split the same circle into 4 equal parts; two of those parts make half the circle, so 2/4 = 1/2
4/5 = 1/5+ 1/5+ 1/5 + 1/5
A pizza is cut into 8 equal slices. Sam eats 11/8 slices (he ate more than one whole pizza). Write 11/8 as a mixed number and explain what it means in this pizza situation.
11/8 = 1 3/8
Jonah ran 1 1/2 miles on Monday and 3/4 mile on Tuesday. How many miles did he run in total? Show your addition and final answer as a mixed number.
2 1/4 miles
Give one visual way to show that 4/6 is the same as 2/3.
Draw a rectangle divided into 6 equal parts; shade 4. Then group parts into pairs to show 2 out of 3 equal parts shaded,
True or False: 3/8 and 9/24 are equivalent. Explain your reasoning with the multiplication factor.
true. Multiply numerator and denominator of 3883 by 3
5/6 = 1/6 + 1/6 + 1/6 + 1/6 +1/6
Convert and explain: Change 3 2/5 to an improper fraction. Show your multiplication and addition steps.
3 2/5 = 17/5
A gardener used 5/6 of a bag of soil on one bed and 7/12 on another bed. How much soil did the gardener use in total? Add and simplify your answer.
17/12 = 1 5/12
Sofia drank 2/5 of a bottle of juice in the morning and 3/8 of the same bottle in the afternoon. How much of the bottle did Sofia drink in total?
31/40