Converting 1.53125 to a Fraction
Step-by-step explanation of how to convert 1.53125 to a fraction

Result

1.53125 =
49
32
Mixed number:
1
17
32

Step 1: Identify the number of decimal places

The decimal 1.53125 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

1.53125 × 100000 = 153125

Step 3: Write as a fraction

1.53125 =

153125
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 153125 and 100000.

GCD(153125, 100000) = 3125

Divide both the numerator and denominator by the GCD:

153125
100000

=

153125 ÷ 3125
100000 ÷ 3125

=

49
32
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