Step by step
The question
Question: write 0.375 as a fraction.
0.375
1 Read the place value
0.375 has 3 digits after the point.
The last digit is in the thousandths.
So we write it over 1000.
3 digits after the point → over 1000
0.375 is 375 thousandths: 375/1000.
= 3751000
2 Simplify
375 and 1000 can both be divided by 125.
That makes it simpler.
= 375 ÷ 1251000 ÷ 125
So it is 3/8.
= 38
Can we make it simpler?
No number goes into both 3 and 8, except 1.
So it stays like this.
simplest ✓
3 Check
Let's check: make the bottom 1000 again.
3 times 125 is 375.
8 times 125 is 1000.
375 thousandths is 0.375.
So the answer is right!
Check: 38 = 3 × 1258 × 125 = 3751000 = 0.375
Let's look back.
First: read the place value.
Then: simplify.
Last: check.
Answer
simplest ✓