Step by step
The question
Question: write 0.45 as a fraction.
0.45
1 Read the place value
0.45 has 2 digits after the point.
The last digit is in the hundredths.
So we write it over 100.
2 digits after the point → over 100
0.45 is 45 hundredths: 45/100.
= 45100
2 Simplify
45 and 100 can both be divided by 5.
That makes it simpler.
= 45 ÷ 5100 ÷ 5
So it is 9/20.
= 920
Can we make it simpler?
No number goes into both 9 and 20, except 1.
So it stays like this.
simplest ✓
3 Check
Let's check: make the bottom 100 again.
9 times 5 is 45.
20 times 5 is 100.
45 hundredths is 0.45.
So the answer is right!
Check: 920 = 9 × 520 × 5 = 45100 = 0.45
Let's look back.
First: read the place value.
Then: simplify.
Last: check.
Answer
simplest ✓