Solution: 47.7 as a fraction is 477/10
Methods
Converting 47.7 to a fraction, Step-by-Step
Step 1:
The first step to converting 47.7 to a fraction is to re-write 47.7 in the form p/q where p and q both are positive integers. To start with, 47.7 can be written as simply 47.7/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 47.7, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 47.7/1 each by 10 to the power of that many digits. For instance, for 0.45, there are 2 fractional digits so we would multiply by 100; or for 0.324, since there are 3 fractional digits, we would multiply by 1000. So, in this case, we will multiply the numerator and denominator of 47.7/1 each by 10:
47.7
×
10
1
×
10
=
477
10
\frac{47.7 × 10}{1 × 10} = \frac{477}{10}
1 × 10 47.7 × 10 = 10 477
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
477
10
=
477
10
\frac{477}{10} = \frac{477}{10}
10 477 = 10 477
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