Converting 1.5648 to a Fraction
Step-by-step explanation of how to convert 1.5648 to a fraction

Result

1.5648 =
978
625
Mixed number:
1
353
625

Step 1: Identify the number of decimal places

The decimal 1.5648 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.5648 × 10000 = 15648

Step 3: Write as a fraction

1.5648 =

15648
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 15648 and 10000.

GCD(15648, 10000) = 16

Divide both the numerator and denominator by the GCD:

15648
10000

=

15648 ÷ 16
10000 ÷ 16

=

978
625
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