Converting 4.658464 to a Fraction
Step-by-step explanation of how to convert 4.658464 to a fraction

Result

4.658464 =
145577
31250
Mixed number:
4
20577
31250

Step 1: Identify the number of decimal places

The decimal 4.658464 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

4.658464 × 1000000 = 4658464

Step 3: Write as a fraction

4.658464 =

4658464
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4658464 and 1000000.

GCD(4658464, 1000000) = 32

Divide both the numerator and denominator by the GCD:

4658464
1000000

=

4658464 ÷ 32
1000000 ÷ 32

=

145577
31250
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