Converting 15.7768 to a Fraction
Step-by-step explanation of how to convert 15.7768 to a fraction

Result

15.7768 =
19721
1250
Mixed number:
15
971
1250

Step 1: Identify the number of decimal places

The decimal 15.7768 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.7768 × 10000 = 157768

Step 3: Write as a fraction

15.7768 =

157768
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 157768 and 10000.

GCD(157768, 10000) = 8

Divide both the numerator and denominator by the GCD:

157768
10000

=

157768 ÷ 8
10000 ÷ 8

=

19721
1250
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