To convert the fraction 3/32 into a decimal, you will need to perform a simple division. This process involves dividing the numerator (3) by the denominator (32).
Here’s how you can do it step by step:
- Start by setting up the division: 3 ÷ 32.
- Since 3 is smaller than 32, you will add a decimal point and zeros to carry out the division:
- When you divide, think of it as 3.000 ÷ 32.
- Now, perform the division:
- 32 goes into 30 (not possible), then into 300:
- 32 fits into 300 a total of 9 times (since 32 x 9 = 288).
- Subtract 288 from 300 to get 12.
- Bring down another 0, making it 120.
- 32 goes into 120 three times (since 32 x 3 = 96).
- Subtract 96 from 120 to get 24.
- Bring down another 0, making it 240.
- 32 fits into 240 exactly 7 times (since 32 x 7 = 224).
- Subtract 224 from 240 to get 16.
- Bring down another 0, making it 160.
- 32 goes into 160 exactly 5 times (since 32 x 5 = 160).
- Now there is no remainder.
Putting it all together, after rounding or stopping after enough decimal places, you would find that:
3/32 = 0.09375
This means that the decimal equivalent of the fraction 3/32 is 0.09375.
In conclusion, converting fractions to decimals can be handy in various real-life situations, especially when dealing with measurements or financial calculations.