Converting 37.7768 to a Fraction
Step-by-step explanation of how to convert 37.7768 to a fraction
Result
37.7768 =
47221
1250
Mixed number:
37
971
1250
Step 1: Identify the number of decimal places
The decimal 37.7768 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
37.7768 × 10000 = 377768
Step 3: Write as a fraction
37.7768 =
377768
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 377768 and 10000.
GCD(377768, 10000) = 8
Divide both the numerator and denominator by the GCD:
377768
10000
=
377768 ÷ 8
10000 ÷ 8
=
47221
1250
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