Converting 7.5376 to a Fraction
Step-by-step explanation of how to convert 7.5376 to a fraction

Result

7.5376 =
4711
625
Mixed number:
7
336
625

Step 1: Identify the number of decimal places

The decimal 7.5376 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

7.5376 × 10000 = 75376

Step 3: Write as a fraction

7.5376 =

75376
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 75376 and 10000.

GCD(75376, 10000) = 16

Divide both the numerator and denominator by the GCD:

75376
10000

=

75376 ÷ 16
10000 ÷ 16

=

4711
625
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