1

Problem

Convert 0.012 into a fraction.

2

Step

Given a decimal number

0.012

3

Hint

Decimals have a point (.), with digits after it as the fractional part and digits before it as the whole part.

4

Step

Determine the place value of the final digit after the decimal point

0.012 --→ thousandths place

5

Step

The denominator would be

1000

6

Step

Fraction Format: \$"Numerator"/"Denominator"\$

\$12/1000\$

7

Step

Simplest Form

\$\cancel 12^3/\cancel 1000^250\$ ⇒\$3/250\$

8

Solution

Hence, the \$3/250\$ is the fractional equivalent of 0.012.

9

Sumup

Please summarize steps

Choices

10

Choice-A

This is incorrect. The fraction simplifies to \$6/5\$, not 0.012

Wrong \$12/10\$

11

Choice-B

This is incorrect: 0.012 is not \$12/100\$, as \$12/100\$ equals 0.12, not 0.012

Wrong \$12/100\$

12

Choice-C

This is the correct answer.\$6/500\$ represents the most straightforward form, 0.012

Correct \$3/250\$

13

Choice-D

This is incorrect. \$12/1000\$ is the reciprocal of \$1000/12\$

Wrong \$1000/12\$

14

Answer

Option

C

15

Sumup

Please summarize choices