Converting 40.7 to a Fraction
Step-by-step explanation of how to convert 40.7 to a fraction

Result

40.7 =
407
10
Mixed number:
40
7
10

Step 1: Identify the number of decimal places

The decimal 40.7 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

40.7 × 10 = 407

Step 3: Write as a fraction

40.7 =

407
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 407 and 10.

GCD(407, 10) = 1

Divide both the numerator and denominator by the GCD:

407
10

=

407 ÷ 1
10 ÷ 1

=

407
10
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