Converting 0.4376 to a Fraction
Step-by-step explanation of how to convert 0.4376 to a fraction

Result

0.4376 =
547
1250

Step 1: Identify the number of decimal places

The decimal 0.4376 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.4376 × 10000 = 4376

Step 3: Write as a fraction

0.4376 =

4376
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4376 and 10000.

GCD(4376, 10000) = 8

Divide both the numerator and denominator by the GCD:

4376
10000

=

4376 ÷ 8
10000 ÷ 8

=

547
1250
Related Conversions
Other decimal to fraction conversions you might find useful