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Grade 6 · Fractions to decimals

Baseball math: how to find a batting average

0:36 video · Watch on YouTube

3 hits in 8 at bats is a batting average of .375. Batting average is hits divided by at bats, so 3 ÷ 8 = 3/8, and because 1/8 = 0.125, 3/8 = 3 × 0.125 = 0.375.

In baseball the 0 is dropped and the average is written .375 and said "three seventy-five". Sports stats like this are a fun way to practice turning fractions into decimals in Grade 6.

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The question, solved step by step

A player gets 3 hits in 8 at bats. What is his batting average?

  1. Batting average = hits ÷ at bats.
  2. 3 hits in 8 at bats: 3 ÷ 8 = 3/8.
  3. One eighth is 0.125 (1 ÷ 8 = 0.125).
  4. Three eighths is three times that: 3 × 0.125 = 0.375.
  5. Written the baseball way: .375, said "three seventy-five".

Answer

His batting average is .375.

The common mistake

Dividing the wrong way round: 8 ÷ 3 = 2.67. A batting average can never be more than 1, because a player cannot get more hits than at bats.

Parent tip

Learn the eighths together: 1/8 = 0.125, 3/8 = 0.375, 5/8 = 0.625 and 7/8 = 0.875. Once one eighth is known, every other eighth is a quick multiplication.

Video transcript

0:00Baseball math! Can your child find this player's batting average?

0:04He got three hits in eight at bats. What's his average?

0:08Try it together. Three, two, one!

0:11Batting average is hits divided by at bats. So, three eighths.

0:16One eighth is zero point one two five. Three eighths is three times that.

0:21Zero point three seven five! In baseball, you say three seventy-five. That's a great hitter!

0:27Subscribe for more! Want one on one help for your child? Book a free math assessment at taleemsquare.com.

Questions parents ask

How do you calculate a batting average?

Divide the number of hits by the number of at bats and round to three decimal places. 3 hits in 8 at bats is 3 ÷ 8 = 0.375, written .375 in baseball.

How do you turn 3/8 into a decimal?

Divide 3 by 8, or use the fact that 1/8 = 0.125: three eighths is 3 × 0.125 = 0.375.

What grade learns to change fractions into decimals?

Children start with tenths and hundredths in Grade 4 and use division to turn any fraction into a decimal in Grade 6 and Grade 7 (Common Core 6.NS and 7.NS.A.2d).

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