Converting Fractions to Percents

In this video, Mr. J explains how to convert fractions to percents by hand without using a calculator. The process involves dividing the numerator by the denominator to get a decimal, then multiplying the decimal by 100 to convert it to a percent. Two examples are provided: converting 3/4 to 75% and 7/15 to a repeating decimal, which is then rounded to 46.7% or 47%. The video concludes with a summary of the steps and options for handling repeating decimals.

What is the first step in converting a fraction to a percent by hand?

• Multiply the fraction by 100

• Divide the numerator by the denominator

• Subtract the denominator from the numerator

• Add the numerator and denominator

After dividing the numerator by the denominator, what is the next step to convert a fraction to a percent?

• Subtract 5 from the result

• Divide the result by 10

• Multiply the result by 100

• Add 10 to the result

What is the decimal equivalent of the fraction 3/4?

• 1.0

• 0.5

• 0.25

• 0.75

What percent does the fraction 3/4 convert to?

• 50%

• 25%

• 75%

• 100%

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What is the repeating decimal for the fraction 7/15?

• 0.4666...

• 0.46

• 0.4

• 0.5

How can you express a repeating decimal in percent form?

• By multiplying by 10

• By ignoring the repeating part

• By rounding to the nearest whole number

• By using a bar over the repeating digit

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When rounding 46.666... to the nearest tenth, what is the result?

• 46.6

• 46.7

• 47.0

• 46.5

What is the approximate percent of 7/15 when rounded to the nearest whole number?

• 46%

• 47%

• 48%

• 45%

What should you do if a decimal does not repeat when converting a fraction to a percent?

• Add zeros to the decimal

• Multiply the decimal by 10

• Round the decimal to a desired place

• Ignore the decimal

What is the final step in converting a fraction to a percent by hand?

• Add the numerator and denominator

• Multiply the decimal by 100

• Divide the decimal by 100

• Subtract the denominator from the numerator