Converting 7.475 to a Fraction
Step-by-step explanation of how to convert 7.475 to a fraction

Result

7.475 =
299
40
Mixed number:
7
19
40

Step 1: Identify the number of decimal places

The decimal 7.475 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

7.475 × 1000 = 7475

Step 3: Write as a fraction

7.475 =

7475
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7475 and 1000.

GCD(7475, 1000) = 25

Divide both the numerator and denominator by the GCD:

7475
1000

=

7475 ÷ 25
1000 ÷ 25

=

299
40
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