Lesson 2: Relate Fractions, Decimals, and Percentages6.AT.4

I can…

I can write equivalent fractions, decimals, and percents for the same value.

Key words

• Fractions, Decimals, and Percents — Three equivalent ways to name the same part of a whole.
• Percent — A way to compare a number to 100, shown with the % sign.
• Decimal — A number with a dot, like 0.5, that shows a part less than one.
• Equivalent — Having the same value, just written a different way.
• Benchmark — A familiar number you use to guess, like 50% or 1/2.
• Discount — Money taken off the first price to make it cheaper.
• Hundredths — The second place after the decimal point; parts out of 100.
• Common form — One form, such as percents, that every value in a list is rewritten in.

Steps

1. A player scored 3/4 of the points. Percent means out of 100, so I want an equivalent fraction with 100 on the bottom.
2. What do I multiply the denominator 4 by to get 100? 4 × 25 = 100, so my scale factor is 25.
3. I have to multiply the top by that same 25: 3 × 25 = 75. So 3/4 = 75/100.
4. 75 out of 100 is 75%. And 75/100 as a decimal is 0.75, because hundredths sit two places after the point.
5. So 3/4 = 75/100 = 0.75 = 75%. All three name the same score.

Try it

A family garden is 0.35 planted with tomatoes. Which shows 0.35 as a fraction and a percent?

Check your answer

7/20 and 35%

0.35 = 35/100 = 7/20. Thirty-five hundredths means 35 per hundred, so 0.35 = 35%.

Sentence starter

I know ___ because ___.

Goal: I can explain my conversions using the words percent, decimal, equivalent, and benchmark.