Converting 1.9578 to a Fraction
Step-by-step explanation of how to convert 1.9578 to a fraction

Result

1.9578 =
9789
5000
Mixed number:
1
4789
5000

Step 1: Identify the number of decimal places

The decimal 1.9578 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.9578 × 10000 = 19578

Step 3: Write as a fraction

1.9578 =

19578
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 19578 and 10000.

GCD(19578, 10000) = 2

Divide both the numerator and denominator by the GCD:

19578
10000

=

19578 ÷ 2
10000 ÷ 2

=

9789
5000
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