## How to Convert Between Decimals and Fractions

In the last moral, you learned about decimals .

### Decimals Review ⚡️

**Decimals ** are numbers with whole act and divide parts .

A **decimal** **point ** goes between the unharmed numbers and fraction separate.

0.25

Let ‘s put the decimal 0.25 in a **place** **value** **chart** .

The value of this decimal is **less** **than** **1.**

You can write any **decimal ** as a **fraction,** and any fraction as a decimal. They ‘re two ways of writing the same thing .

0.25 = 25/100

Digits to the right of the decimal item have ** ** values ** less** **than** **1** .

0.1 has a value of 1/10

Digits to the good ( 👉 ) of the decimal point are in the **Tenths** place .

**Tip:** The Ten **ths** seat is unlike from the Tens home, no thorium .

0.01 has a value of 1/100

Digits to the justly ( 👉 ) of the Tenths target are in the **Hundredths** place .

The further right ( 👉 ) a digit is away from the decimal fraction, the smaller is its space value .

0.001 has a value of 1/1,000

**How to Turn Decimals to Fractions**

Let ‘s try convert, or turning, this decimal into a divide :

0.25

We follow 2 steps .

**Step** **1. ** Figure out the **value** **of** **each** **digit**. ** **

**2 ** is in the Tenths place. Its prize is **2** / **10.**

**5 ** is in the Hundredths home. Its respect is **5** / **100** .

**Step** **2. ** **Add** **the** **fractions** .

We need to have the same denominators ( the numbers at the bottom ) when adding fractions .

👉 We do this by finding the **greatest** **denominator.**

Of the two denominators, which is the greatest, or biggest ?

✅ It ‘s 100 !

👉 so, we have to convert **2** / **10** by multiplying it by **10** / **10.**

This creates an **equivalent** **fraction** ** ** that ‘s easier to work with, but has the like value !

now, we can add because our denominators are the lapp .

👉 We add the numerators ( the numbers at the exceed ) .

👉 then, we barely write our **common** **denominator.**

big job ! We ‘ve converted our decimal into a fraction. 🎉

Did you notice something ? 🤔

😉 The numerator is the lapp as the digits after the decimal fraction point .

**0**. **25** ** ** is **25** / **100** or **25** **hundredths.**

#### A Faster Way to Convert

here ‘s a **quick** **way ** to convert decimals into fractions .

1️⃣ **First, ** figure out the **place** **value** of the **last** **digit.** That ‘s your denominator .

The last digit in 0.25 is 5. It ‘s in the **Hundredths ** place .

A Hundredth is 1/100 .

✅ so our denominator is 100 .

2️⃣ **Then,** find the digits **after** **the** **decimal** **point.** That ‘s your numerator .

The number after the decimal point is 25 .

Our numerator is 25. ✅

so, we see that 0.25 is peer to 25/100 .

**Fractions** and **decimals** are the same thing !

#### Another Example

Let ‘s use the promptly way to convert this decimal fraction into a fraction .

0.4

**First, ** figure out the **place** **value** of the **last** **digit.**

4 is the last digit. It ‘s in the Tenths place .

A Tenth is 1/10 .

✅ That means our denominator is 10 .

**Then,** find the number **after** **the** **decimal** **point.**

It ‘s your **numerator!**

sol ,

0.4 = 4/10 ✅

**Tip: ** You can simplify 4/10 down to **2** / **5.**

If you do n’t remember how to simplify fractions, try the lesson on simplifying fractions to their lowest terms .

here ‘s another case .

0.75

What ‘s 0.75 as a fraction ?

That ‘s justly !

**0**. **75 ** in fraction phase is **75** / **100.**

**Tip:** ** ** You can simplify 75/100 down to **3** / **4!**

How about this decimal fraction ? 👇

0.03

**0**. **03 ** in fraction form is **3** / **100**. ✅

### Turning Fractions into Decimals

now, let ‘s convert fractions to decimals .

look at this exercise :

We can use a **place** **value** **chart ** to help us .

The measure of this fraction is less than 1 .

So we **write** **0** in the **Ones** **place.**

After the decimal fraction point, we **write** **55** for **55** **Hundredths.**

Our answer is **0**. **55.**

Let ‘s try another exercise .

Since there are **no** **whole** **numbers ** in this decimal fraction, you **write** **0** in the **Ones** **place.** then, put a **decimal** **point** **after** **it.**

next, write the **numerator,** 68 **,** ** ** **after** the decimal bespeak .

This is the **fractions** **part ** of the decimal fraction .

then, our answer is **0**. **68.**

immediately let ‘s try converting this fraction into a decimal :

There ‘s **no** **whole** **number, ** so we **write 0** in the **Ones place.**

Our numerator shows that there are 7 Hundredths, but no Tenths .

thus, we write 0 in the Tenths place, and 7 in the Hundredths .

Read more : Smoked Pork Shoulder

**7** / **100 ** in decimal is **0**. **07. ✅**

### Good job! 🎉

now, complete the practice to understand more and remember for longer. 😺 You ‘ll use decimals and fractions your whole life !