Converting 1.45625 to a Fraction
Step-by-step explanation of how to convert 1.45625 to a fraction

Result

1.45625 =
233
160
Mixed number:
1
73
160

Step 1: Identify the number of decimal places

The decimal 1.45625 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

1.45625 × 100000 = 145625

Step 3: Write as a fraction

1.45625 =

145625
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 145625 and 100000.

GCD(145625, 100000) = 625

Divide both the numerator and denominator by the GCD:

145625
100000

=

145625 ÷ 625
100000 ÷ 625

=

233
160
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