# 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:

1. Set up the division:

3 ÷ 4

Write it as:

0.75
-----
4 | 3.00

2. 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

3. 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
4. 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
5. 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.