CALCULATOR

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## Decimal to Fraction Calculator

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INTRO

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Decimals are just another way of writing fractions. To convert any decimal to a fraction, we put the decimal part over a power of $10$, where the number of $0$'s is equal to the number of digits after the decimal point.

For example, $0.$ is like saying we have $1$ out of $10$:

$0.1=101 $

The more digits our decimal has, the more 0's our denominator has. So, $0.$ is like saying we have $11$ out of $100$:

$0.11=10011 $

Check out our or explore our and sections to learn more about converting decimals to fractions and test your understanding.

Calculator

Lesson

Practice

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KEY STEPS

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## How to Convert Decimals to Fractions

### Step 1. Identify the whole part and the decimal part of the number.

If there's a negative sign, ignore it for now.

$whole2 .partdecimal 75 $### Step 2. Convert the decimal part to a fraction.

The numerator is the decimal part. The denominator is $1$ followed by $0$’s, where the number of $0$'s is equal to the number of digits after the decimal point.$2.75=2+10075 $

### Step 3. Simplify the fraction

$2$$+$

$10075 $

$=$$2$$+$$43 $

### Step 4. Add the whole number to the simplified fraction.

We can write this fraction as either a mixed number or as an improper fraction.

### Mixed Number

$2+43 =243 $### Improper Fraction

$2+43 =411 $$243 =411 $

LESSON

— Converting Decimals to Fractions

PRACTICE

— Converting Decimals to Fractions

CONCLUSION

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