Recognizing & Creating Equivalent Fractions
Write two fractions equivalent to 1/2.
2/4 and 4/8
*There are many others.
Which is greater: 1/4 or 1/3?
1/3
Is 1/3 closer to 0, 1/2, or 1?
0
1/6 + 2/6.
3/6
*Equivalent to 1/2
Decompose 3/5 into a sum of two fractions with denominator 5.
1/5 + 2/5
Draw a model or explain why 2/4 is equivalent to 1/2.
Compare: 3/8 ___ 1/2.
3/8 < 1/2
3/8 is less than 1/2
Which is nearer to 1/2: 4/9 or 5/12?
4/9
5/8 − 2/8
3/8
*Less than 1/2
Make 1 whole using fractions with denominator 6 (use at least two fractions).
2/6 + 3/6 + 1/6
Fill in the blank to make an equivalent fraction: 3/8 = ?/16.
6
Use common denominators to compare: 5/6 ___ 4/5.
5/6 (x5/5) = 25/30
4/5 (x6/6) = 24/30
25/30 > 24/30
25/30 is greater than 24/30
Place these in order 0, 1/2, 1: 3/8, 5/6.
0 ~ 3/8 ~ 1/2 ~ 5/6 ~ 1
3/4 + 1/4
4/4
*Equal to 1
Decompose 1 1/3 into a sum of fractions with denominator 3.
1/3 + 2/3 + 1/3
Write three equivalent fractions for 2/3 by multiplying numerator and denominator by whole numbers 2, 3, and 4.
4/6
6/9
8/12
Compare: 7/12 and 2/3 using a number line or equivalent fractions.
*replace 2/3 with 8/12
7/12 < 8/12
7/12 is less than 8/12
Use benchmark 1/2 to compare: 9/20 and 11/24.
11/24
*Did you use the butterfly?
A recipe needs 7/12 cup of sugar and you add another 3/12 cup. How much sugar do you have now?
10/12
*Equivalent to 5/6. Greater than 1/2.
Decompose 7/8 into three fractions with denominator 8.
3/8 + 3/8 + 1/8
Explain why multiplying numerator and denominator by the same nonzero number always gives an equivalent fraction. Use an example.
Multiplying by the same number 'cuts' each piece equally. This means you have more pieces, but all the pieces stay the same size and no extra shading has happened.
Two fractions are 5/9 and 7/12. Decide which is larger.
7/12 (x3/3) = 21/36
*Replace 5/9 and 7/12.
20/36 < 21/36
5/9 < 7/12
Which is greater? 13/20 or 7/12
13/20
Sam walked 3/8 mile, then another 4/8 mile. How far did Sam walk in total? If Sam's friend walked 1/2 mile, who walked farther and by how much?
7/8
Sam walked farther by 3/8 mile.
Mia has 5/6 of a yard of ribbon. She wants to cut it into pieces of 2/6 yard and some left over. How much will be left over? Show your answer in an equation.
2/6 + 2/6
1/6 left over