Math 7th Grade

Dec 5, 2025

1 page

Understanding Fractions, Decimals, and Percents

Becca @becca_zfrc7

Converting between fractions, decimals, and percents is a key math skill you'll use constantly. These number forms represent... Show more

$# math notes Fractions, Decimals, Percents Fraction to Decimal || Decimal to fraction !Divide! 0.3 add o +2110 2468100=05 Times Deci$

Converting Between Fractions, Decimals, and Percents

Ever wonder why we need three different ways to write numbers? Fractions, decimals, and percents are just different ways to express the same values! Let's break down how to convert between them.

To change a fraction to decimal, just divide the numerator by the denominator. For example, $\frac{3}{10} = 0.3$ because 3 ÷ 10 = 0.3. For $\frac{31}{100}$ , you get 0.31.

Converting a decimal to fraction is easy too! The digits after the decimal become the numerator, and the denominator depends on place value. For 0.3, it's $\frac{3}{10}$ $one decimal place = 10$ . For 0.12, it's $\frac{12}{100}$ , which simplifies to $\frac{3}{25}$ .

Math Hack When simplifying fractions like $\frac{12}{100}$ , divide both top and bottom by their greatest common factor. Here, divide by 4 to get $\frac{3}{25}$ .

For decimal to percent, move the decimal point two places to the right and add a % sign. So 0.25 = 25% and 0.7 = 70%. Going from percent to decimal is the reverse - move the decimal two places left (25% = 0.25).

Converting a percent to fraction means writing the percent over 100 and simplifying. For fraction to percent, multiply by 100. Example $\frac{3}{4} \times 100 = 75$ , so $\frac{3}{4} = 75%$ .

You can master these conversions with a little practice. Soon you'll be switching between these number forms without even thinking about it!

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Math 7th Grade

•

Dec 5, 2025

•

1 page

Understanding Fractions, Decimals, and Percents

Becca

@becca_zfrc7

Converting between fractions, decimals, and percents is a key math skill you'll use constantly. These number forms represent the same values in different ways, and knowing how to switch between them helps solve problems in math class and real life.

$# math notes Fractions, Decimals, Percents Fraction to Decimal || Decimal to fraction !Divide! 0.3 add o +2110 2468100=05 Times Deci$

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Converting Between Fractions, Decimals, and Percents

Ever wonder why we need three different ways to write numbers? Fractions, decimals, and percents are just different ways to express the same values! Let's break down how to convert between them.

To change a fraction to decimal, just divide the numerator by the denominator. For example, $\frac{3}{10} = 0.3$ because 3 ÷ 10 = 0.3. For $\frac{31}{100}$ , you get 0.31.

Math Hack: When simplifying fractions like $\frac{12}{100}$ , divide both top and bottom by their greatest common factor. Here, divide by 4 to get $\frac{3}{25}$ .

Converting a percent to fraction means writing the percent over 100 and simplifying. For fraction to percent, multiply by 100. Example: $\frac{3}{4} \times 100 = 75$ , so $\frac{3}{4} = 75%$ .

You can master these conversions with a little practice. Soon you'll be switching between these number forms without even thinking about it!