# Convert 3/4 to a decimal

### Convert 3/4 to a decimal

A: \( 0.75 \)

### Worksheet

**Step 1: Understand the Fraction**

The fraction we are converting is 3/4. This means we have 3 parts out of 4 equal parts.

**Step 2: Set Up the Division**

To convert a fraction to a decimal, you divide the numerator (the top number) by the denominator (the bottom number). So, we need to divide 3 by 4.

**Step 3: Perform the Division**

Let's do the division step by step:

**Set up the division**:3 ÷ 4

Write it as:

0.75

-----

4 | 3.00**Divide 3 by 4**:- 4 goes into 3 zero times, so we place a 0 above the 3.
- Since 4 does not go into 3, we add a decimal point to the quotient and add a 0 to the right of 3 to make it 30.

0.

-----

4 | 3.00**Divide 30 by 4**:- 4 goes into 30 seven times (since 4 * 7 = 28), so we write 7 in the quotient after the decimal point.
- Subtract 28 from 30, leaving a remainder of 2.
- 0.7

-----

4 | 3.00

-28

----

20

**Bring down another 0 to make it 20**:- 4 goes into 20 five times (since 4 * 5 = 20), so we write 5 in the quotient after 7.
- Subtract 20 from 20, leaving a remainder of 0.
- 0.75

-----

4 | 3.00

-28

----

20

-20

----

0

**Step 4: Combine the Quotient**Combining the results of our division, we have:

3 divided by 4 equals 0.75.

**So, the fraction 3/4 converted to a decimal is 0.75.**