Fractions to Decimals

What is a fraction?

A fraction shows a part of a whole. It has two numbers. A numerator (top number) and a denominator (bottom number). The numerator tells us how many parts we have. The denominator tells us how many parts make up a whole.

What is a decimal?

A decimal is a way to write numbers less than one or between whole numbers using a decimal point. The digits after the point show parts of a whole in tenths, hundredths, etc.

Math uses fractions and decimals, but decimals are often more convenient.

Understanding Fractions

Fractions have two parts:

Numerator (Top): This is the part we have;
Denominator (Bottom): This is the total number of parts.

Formula and Steps:

Step 1: Use the formula: Decimal Value = $\frac{numer}{denom}$ = numer ÷ denom = answer;
Step 2: Write your answer as a decimal;
Step 3: If the decimal is long, round it to make it simpler.

Understanding Mixed Fractions

To convert a mixed fraction to a decimal, follow these steps:

A mixed fraction has three parts:

Whole Number: The whole part of the mixed fraction;
Numerator (Top): This is the part we have;
Denominator (Bottom): This is the total number of parts.

Formula and Steps:

Step 1: Use this formula: Decimal Value = $\frac{whole × denom + numer}{denom}$ = answer. Multiply the whole number by the denominator, then add the numerator.
Step 2: Now you have a regular fraction, convert it to a decimal.
Step 3: Divide the numerator by the denominator to get the answer.
Step 4: If the decimal is long, round it to make it easier to use.

Use these formulas and steps to convert different fractions to decimals. These methods are simple and effective. Practice to improve your skills!

$\frac{1}{8}$

What is 1/8 as a decimal?

Turn 1/8 into a decimal with basic division.

$\frac{3}{8}$

What is 3/8 as a decimal?

Turn 3/8 into a decimal with basic math.

$\frac{5}{8}$

What is 5/8 as a decimal?

Turn 5/8 into a decimal with simple division.

$\frac{1}{3}$

What is 1/3 as a decimal?

Easily turn 1/3 into a decimal with a simple division.

$\frac{2}{3}$

What is 2/3 as a decimal?

Convert 2/3 to a decimal by dividing.

$\frac{1}{4}$

What is 1/4 as a decimal?

Find the decimal value of 1/4 by dividing it.

$\frac{3}{4}$

What is 3/4 as a decimal?

Change 3/4 to a decimal easily by dividing.

$\frac{1}{5}$

What is 1/5 as a decimal?

Convert 1/5 to a decimal form through division.

$\frac{2}{5}$

What is 2/5 as a decimal?

Quickly calculate 2/5 as a decimal by dividing.

$\frac{3}{5}$

What is 3/5 as a decimal?

Unveil the decimal form of 3/5 with a division.

$\frac{7}{8}$

What is 7/8 as a decimal?

Convert 7/8 to a decimal by dividing it.

$\frac{1}{6}$

What is 1/6 as a decimal?

Every fraction, like 1/6, has a decimal form. Just divide.