Converting 45.6448 to a Fraction
Step-by-step explanation of how to convert 45.6448 to a fraction

Result

45.6448 =
28528
625
Mixed number:
45
403
625

Step 1: Identify the number of decimal places

The decimal 45.6448 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

45.6448 × 10000 = 456448

Step 3: Write as a fraction

45.6448 =

456448
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 456448 and 10000.

GCD(456448, 10000) = 16

Divide both the numerator and denominator by the GCD:

456448
10000

=

456448 ÷ 16
10000 ÷ 16

=

28528
625
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