Converting 1.78144 to a Fraction
Step-by-step explanation of how to convert 1.78144 to a fraction

Result

1.78144 =
5567
3125
Mixed number:
1
2442
3125

Step 1: Identify the number of decimal places

The decimal 1.78144 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

1.78144 × 100000 = 178144

Step 3: Write as a fraction

1.78144 =

178144
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 178144 and 100000.

GCD(178144, 100000) = 32

Divide both the numerator and denominator by the GCD:

178144
100000

=

178144 ÷ 32
100000 ÷ 32

=

5567
3125
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