Step by step
The question
Question: write 3/4 as a decimal.
34
1 Make the bottom 10, 100 or 1000
A decimal is tenths, hundredths, thousandths.
So we want a bottom of 10, 100 or 1000.
4 times 25 is 100.
4 × 25 = 100
We multiply the top and the bottom by 25.
25/25 is 1, so the value stays the same.
= 3 × 254 × 25
3 times 25 is 75.
So we get 75/100.
= 75100
2 Write the decimal
100 has 2 zeros.
So the decimal has 2 digits after the point.
100: 2 zeros → 2 digits after the point
75 hundredths is 0.75.
= 0.75
3 Check
Let's check: the decimal times the bottom should give the top.
0.75 times 4.
Check: 0.75 × 4
Forget the points: 75 times 4 is 300.
The numbers have 2 digits after the point.
So the answer has 2 too: 3.00, which is 3.
75 × 4 = 300 → 3.00
We get 3, the top.
So the answer is right!
0.75 × 4 = 3
Let's look back.
First: make the bottom 10, 100 or 1000.
Then: write the decimal.
Last: check.
Answer
= 0.75