Converting 1.475 to a Fraction
Step-by-step explanation of how to convert 1.475 to a fraction

Result

1.475 =
59
40
Mixed number:
1
19
40

Step 1: Identify the number of decimal places

The decimal 1.475 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

1.475 × 1000 = 1475

Step 3: Write as a fraction

1.475 =

1475
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1475 and 1000.

GCD(1475, 1000) = 25

Divide both the numerator and denominator by the GCD:

1475
1000

=

1475 ÷ 25
1000 ÷ 25

=

59
40
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