Converting 3.721875 to a Fraction
Step-by-step explanation of how to convert 3.721875 to a fraction
Result
3.721875 =
1191
320
Mixed number:
3
231
320
Step 1: Identify the number of decimal places
The decimal 3.721875 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
3.721875 × 1000000 = 3721875
Step 3: Write as a fraction
3.721875 =
3721875
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3721875 and 1000000.
GCD(3721875, 1000000) = 3125
Divide both the numerator and denominator by the GCD:
3721875
1000000
=
3721875 ÷ 3125
1000000 ÷ 3125
=
1191
320
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