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Write 0.0625 as a fraction

Step by step, with the reason for every step · Fractions and decimals · Foundations

Step by step

The question

Question: write 0.0625 as a fraction.

0.0625

1 Read the place value

0.0625 has 4 digits after the point.

The last digit is in the ten-thousandths.

So we write it over 10000.

4 digits after the point → over 10000

0.0625 is 625 ten-thousandths: 625/10000.

= 62510000

2 Simplify

625 and 10000 can both be divided by 625.

That makes it simpler.

= 625 ÷ 62510000 ÷ 625

So it is 1/16.

= 116

Can we make it simpler?

No number goes into both 1 and 16, except 1.

So it stays like this.

simplest ✓

3 Check

Let's check: make the bottom 10000 again.

1 times 625 is 625.

16 times 625 is 10000.

625 ten-thousandths is 0.0625.

So the answer is right!

Check: 116 = 1 × 62516 × 625 = 62510000 = 0.0625

Let's look back.

First: read the place value.

Then: simplify.

Last: check.

Answer
simplest ✓

Your turn

Try this one yourself, then check:

Write 0.6875
Show the answer
1116

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