Converting 0.0755 to a Fraction
Step-by-step explanation of how to convert 0.0755 to a fraction

Result

0.0755 =
151
2000

Step 1: Identify the number of decimal places

The decimal 0.0755 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.0755 × 10000 = 755

Step 3: Write as a fraction

0.0755 =

755
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 755 and 10000.

GCD(755, 10000) = 5

Divide both the numerator and denominator by the GCD:

755
10000

=

755 ÷ 5
10000 ÷ 5

=

151
2000
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