Understanding Fractions — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Which fraction is closest to 1 on a number line?
A) 28
B) 56
C) 13
D) 310
56 is closest to 1 because it is only 16 away from a whole, while other choices have larger gaps.
2. Which fraction is NOT equivalent to 12?
A) 24
B) 36
C) 48
D) 26
26 simplifies to 13, not 12, so it is the fraction that is not equivalent to one half.
3. Which is smaller: 34 or 38?
A) 34
B) 38
C) They are equal
D) Cannot tell
38 is smaller because eighths are much tinier pieces than fourths, so 3 eighths is less than 3 fourths.
4. A number line from 0 to 1 is divided into 4 equal parts. What fraction is at the first mark?
A) 12
B) 13
C) 14
D) 44
The first mark is 14 because dividing the line into 4 equal parts means each jump is one fourth of the way from 0 to 1.
Part B: Fill in the Blank
Write the correct answer on each line.
1. 39 is equivalent to 1 3 .
Dividing both 3 and 9 by 3 gives 13, so the missing denominator is 3.
2. Comparing 512 and 58, the fraction 58 is greater.
58 is greater than 512 because eighths are larger pieces than twelfths, so 5 eighths covers more of the whole.
3. A bag has 12 marbles and 6 are blue. The fraction of blue marbles is 612.
6 blue marbles out of 12 total gives the fraction 612, which also equals 12 of the bag.
4. On a number line, 05 is at the same point as 0.
05 equals 0 because the numerator is zero, meaning no parts are taken, so it sits right at the start of the number line.
5. 610 is equivalent to 3 5 .
Dividing both 6 and 10 by 2 gives 35, so the missing numerator is 3.