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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CALCULATOR

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## Decimal to Fraction Calculator

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

## Converting Decimals to Fractions

Just like Miles Morales and Spiderman are the same person with two different names, decimals and fractions are just two different ways of saying the same number.

To convert a decimal to a fraction, we just need to write the decimal part divided by $1$ followed by $0$s, where the number of $0$s is equal to the number of digits after the decimal point.

$0.543 =1000 543 $Let’s walk through some example problems!PRACTICE

— Converting Decimals to Fractions

## Practice: Converting Decimals to Fractions

Question 1 of 10: Convert $1.3$ to a fraction.

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

$1 $

$.$$3 $

CONCLUSION

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Incredible job, look at you go! Thanks for checking out this lesson ☺️🙏. Where to next?

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