Equivalent Fractions & Comparing — Answer Key
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
A fraction equivalent to 23 is 49.
Corrected: A fraction equivalent to 23 is 46.
The corrected sentence is: "A fraction equivalent to 23 is 46.". The original sentence "A fraction equivalent to 23 is 49." contained an error that needed to be fixed.
2. Fix the sentence:
34 is less than 25 because 4 is less than 5.
Corrected: 34 is greater than 25 because 1520 > 820 using a common denominator.
The corrected sentence is: "34 is greater than 25 because 1520 > 820 using a common denominator.". The original sentence "34 is less than 25 because 4 is less than 5." contained an error that needed to be fixed.
3. Fix the sentence:
68 simplified is 38.
Corrected: 68 simplified is 34 because you divide both 6 and 8 by 2.
The corrected sentence is: "68 simplified is 34 because you divide both 6 and 8 by 2.". The original sentence "68 simplified is 38." contained an error that needed to be fixed.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. 12 = 3 6 .
12 × 33 = 36. Multiply numerator and denominator by 3.
2. 812 in simplest form is 23.
GCF of 8 and 12 is 4. 8÷4=2, 12÷4=3. Simplest form: 23.
3. To compare 35 and 12, a common denominator you could use is 10.
LCM of 5 and 2 is 10. Use 10 as common denominator: 35=610, 12=510.
4. 24 = 1 2 .
24 ÷ 22 = 12. Dividing by GCF 2 gives 12.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Explain how you can tell whether 38 is greater than or less than 12.
Sample answer: 12 equals 48, and since 38 < 48, the fraction 38 is less than 12.
Converting to a common denominator makes comparison straightforward.
2. How do you find an equivalent fraction for 35?
Sample answer: Multiply both the numerator and denominator by the same number, such as 2, to get 610.
Multiplying or dividing both parts by the same non-zero number creates an equivalent fraction.