Converting 4.2288 to a Fraction
Step-by-step explanation of how to convert 4.2288 to a fraction

Result

4.2288 =
2643
625
Mixed number:
4
143
625

Step 1: Identify the number of decimal places

The decimal 4.2288 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.2288 × 10000 = 42288

Step 3: Write as a fraction

4.2288 =

42288
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 42288 and 10000.

GCD(42288, 10000) = 16

Divide both the numerator and denominator by the GCD:

42288
10000

=

42288 ÷ 16
10000 ÷ 16

=

2643
625
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