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3/4 as a Percent and Decimal

Fractions, decimals and percentages are three ways of writing the same value. This page shows, step by step, how to turn 3/4 into a decimal and then into a percent, with a few everyday examples so the method sticks.

Understanding the fraction 3/4

3/4 means 3 part out of 4 equal parts of a whole. The top number is the numerator, the part you have. The bottom number is the denominator, the total number of equal parts.

Breaking down 3/4

For example, if a pizza is cut into 4 equal slices and you eat 3 slices, you have eaten 3/4 of the pizza.

How to convert 3/4 into a decimal

Divide the numerator by the denominator.

Step 1: Write it as division: 3 ÷ 4

Step 2: Work it out: 3 ÷ 4 = 0.75

So, 3/4 as a decimal is 0.75.

How to convert 3/4 into a percent

Take the decimal and multiply it by 100.

Step 1: Start with the decimal: 0.75

Step 2: Multiply by 100: 0.75 × 100 = 75%

So, 3/4 as a percent is 75%.

Quick conversion table

FractionDecimalPercent
3/40.7575%

Visual representation of 3/4

Picture a chocolate bar cut into 4 equal pieces. Eating 3 pieces means you have eaten 3/4 of the bar, which is 0.75 as a decimal and 75% as a percent. The bar, the decimal and the percent all describe the same share, just in different forms.

Why this conversion matters

Cooking and baking

If a recipe asks for 3/4 cup of sugar, that is the same as 0.75 cup, or 75% of one cup.

Time

3/4 of one hour is 60 × 3/4 = 45 minutes.

Money and shopping

If you spend 3/4 of your budget, you have spent 75% of your total money. A discount of the same size means you save that share of the price.

Another way to get the percent

Multiply the fraction by 100 directly: (3/4) × 100 = 300/4 = 75%.

Common mistakes

Dividing the wrong way round. Always divide the numerator by the denominator, not the other way round.

Forgetting the × 100 step. The decimal alone is not the percent. Multiplying by 100 is what turns it into a percent.

Real-life examples

Food: Eating 3 slices from 4 slices means you ate 75% of the pizza.

Academic scores: Finishing 3 out of 4 assignments, or scoring 3 out of 4 marks, means you finished or scored 75% of the work.

Shopping: A discount equal to 3/4 of the price saves you 75% of what you would have paid.

Learn more

For a video explanation of this topic, see Khan Academy: Fraction, decimal, and percent from a visual model.

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