Converting 7.4675 to a Fraction
Step-by-step explanation of how to convert 7.4675 to a fraction

Result

7.4675 =
2987
400
Mixed number:
7
187
400

Step 1: Identify the number of decimal places

The decimal 7.4675 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

7.4675 × 10000 = 74675

Step 3: Write as a fraction

7.4675 =

74675
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 74675 and 10000.

GCD(74675, 10000) = 25

Divide both the numerator and denominator by the GCD:

74675
10000

=

74675 ÷ 25
10000 ÷ 25

=

2987
400
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