Grade 4 Math Practice Test: Fractions

Multiply the numerator and the denominator by the same number: 2 × 23 × 2 = 46. 34 adds 1 to both parts, and adding does not keep a fraction the same.

The denominator 5 was multiplied by 2 to get 10, so multiply the numerator by 2 as well: 3 × 2 = 6. 8 comes from adding 5, but equivalent fractions need multiplication, not addition.

Rewrite them as eighths: 12 = 48 and 34 = 68. Since 3 < 4 < 6, the order is 38, 12, 34.

When the numerators are the same, the fraction with the smaller denominator is greater, because the whole is cut into fewer, larger pieces. So 14 > 16.

The denominators are the same, so add only the numerators: 2 + 3 = 5, giving 57. Adding the denominators too (514) is the classic mistake; the pieces are still sevenths.

Subtract the numerators and keep the denominator: 78 − 38 = 48 yard, which is the same as 12 yard. 108 adds the two lengths instead of finding what is left.

Add the whole numbers (1 + 2 = 3) and the fractions (25 + 15 = 35) to get 335. 3310 wrongly adds the denominators.

Fractions with the same denominator are added by adding the numerators: 26 + 36 = 56. The other sums are 53, 46 and 512.

4 × 25 means 4 groups of 25: 25 + 25 + 25 + 25 = 85, or 135. Multiply only the numerator by the whole number; 820 multiplies the denominator too.

5 × 34 = 154 cups. Since 124 = 3, 154 = 334 cups. 1520 is the same as 34, the amount for just one glass.

A fraction is greater than 12 when its numerator is more than half of its denominator. Half of 7 is 3.5 and 4 > 3.5, so 47 > 12; in the other three fractions the numerator is less than half of the denominator.

Change tenths to hundredths first: 310 = 30100. Then 30100 + 45100 = 75100. Adding 3 + 45 without converting gives 48100.