SBAC - Smarter Balanced Assessment Consortium Math Grade 5 Fractions and Decimals 1

Question 1

What is 2/3 × 3/5?

Accepted Answer

2/5

Answer

Multiply numerators and denominators separately: (2×3)/(3×5) = 6/15, then simplify by dividing both by 3 to get 2/5.

Question 2

What is 1.25 + 0.75?

Accepted Answer

2.00

Answer

Line up the decimal points and add: 1.25 + 0.75 = 2.00. The tenths digits (2+7=9→carry) and hundredths digits (5+5=10) combine to give exactly 2.

Question 3

What is 3/4 ÷ 1/2?

Accepted Answer

1 1/2

Answer

Dividing by a fraction means multiplying by its reciprocal: 3/4 × 2/1 = 6/4 = 3/2 = 1 1/2.

Question 4

Which fraction is equivalent to 0.45?

Accepted Answer

9/20

Answer

0.45 means 45 hundredths, or 45/100. Simplify by dividing numerator and denominator by 5: 45÷5 = 9, 100÷5 = 20, giving 9/20.

Question 5

What is 2.5 − 1.75?

Accepted Answer

0.75

Answer

Rewrite 2.5 as 2.50, then subtract: 2.50 − 1.75 = 0.75. Subtract hundredths (0−5, borrow), tenths, then ones.

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