Converting 4.8125 to a Fraction
Step-by-step explanation of how to convert 4.8125 to a fraction
Result
4.8125 =
77
16
Mixed number:
4
13
16
Step 1: Identify the number of decimal places
The decimal 4.8125 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
4.8125 × 10000 = 48125
Step 3: Write as a fraction
4.8125 =
48125
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 48125 and 10000.
GCD(48125, 10000) = 625
Divide both the numerator and denominator by the GCD:
48125
10000
=
48125 ÷ 625
10000 ÷ 625
=
77
16
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