Worksheet: Estimating the Sum and Difference of Fractions by Rounding

In this worksheet, we will practice estimating the sum of or difference between two fractions or mixed numbers by rounding to the nearest half.

Q1:

Estimate 1 0 1 1 + 1 7 by rounding each fraction to the nearest half.

  • A0
  • B2
  • C 1 1 2
  • D 1 2
  • E1

Q2:

Estimate 1 1 0 + 1 5 by rounding each fraction to the nearest half.

  • A2
  • B 1 2
  • C1
  • D 1 1 2
  • E0

Q3:

Estimate 2 3 + 4 5 by rounding each fraction to the nearest half.

  • A0
  • B 1 1 2
  • C2
  • D1
  • E 1 2

Q4:

Olivia had a piece of cloth that was 2 0 2 7 inches long. She shortened its length by 4 2 5 inches. Estimate the new length of the piece of cloth.

Q5:

By rounding each fraction to the nearest whole number, estimate the sum of 3 1 3 , 4 1 1 2 , and 9 8 1 1 .

  • A16
  • B17
  • C18
  • D19

Q6:

Noah ran two miles. He ran the first mile in 5 7 1 0 minutes and the second mile in 6 1 3 minutes. By rounding each fraction to a whole number, estimate the time it took Noah to run the two miles.

  • A 11 min
  • B 14 min
  • C 10 min
  • D 12 min
  • E 13 min

Q7:

By rounding each term to a whole number, estimate 7 2 3 + 4 1 1 2 .

Q8:

Chloe has saved $ 4 2 7 9 to pay for a vacation. She spends $ 1 1 1 5 on a hotel and $978 on flights.

First, estimate the amount she has left by rounding each number to the nearest hundred.

  • A $ 2 2 0 0
  • B $ 1 2 0 0
  • C $ 2 3 0 0
  • D $ 2 0 0 0
  • E $ 2 1 0 0

Find the exact answer. Use your estimate to check if your answer is reasonable.

  • A $ 2 1 8 6
  • B $ 2 2 0 1
  • C $ 2 1 6 8
  • D $ 2 1 6 4
  • E $ 2 1 7 9

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