Converting 45.7376 to a Fraction
Step-by-step explanation of how to convert 45.7376 to a fraction

Result

45.7376 =
28586
625
Mixed number:
45
461
625

Step 1: Identify the number of decimal places

The decimal 45.7376 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

45.7376 × 10000 = 457376

Step 3: Write as a fraction

45.7376 =

457376
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 457376 and 10000.

GCD(457376, 10000) = 16

Divide both the numerator and denominator by the GCD:

457376
10000

=

457376 ÷ 16
10000 ÷ 16

=

28586
625
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