.375 as a Fraction – Step-by-Step Guide

.375 as a Fraction is 3/8.

Given:

0.375

Step 1: Write the decimal as a fraction.

0.375 = 375/1000

Step 2: Find the Greatest Common Factor (GCF).

GCF of 375 and 1000 = 125

Step 3: Divide the numerator and denominator by 125.

375 ÷ 125 = 3

1000 ÷ 125 = 8

Step 4: Write the simplified fraction.

3/8

Final Answer:

0.375 = 3/8

Why Do We Write 0.375 Over 1000?

The decimal 0.375 has three digits after the decimal point.

Those digits represent thousandths, so we write:

$$0.375=\frac{375}{1000}$$

Since both 375 and 1000 are divisible by 125, we simplify the fraction.

$$\frac{375}{1000}=\frac{3}{8}$$

Common Mistakes

Avoid these common errors when converting decimals to fractions:

• Writing 0.375 = 375/100 instead of 375/1000.
  
  
• Forgetting to simplify the fraction.
  
  
• Dividing only the numerator or denominator instead of both.
  
  
• Using the wrong power of 10.

Always count the number of decimal places before creating the fraction.

Read: 2/3 times 2/3 in fraction form.