Solution: 13.86 as a fraction is 693/50
Methods
Converting 13.86 to a fraction, Step-by-Step
Step 1:
The first step to converting 13.86 to a fraction is to re-write 13.86 in the form p/q where p and q both are positive integers. To start with, 13.86 can be written as simply 13.86/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 13.86, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 13.86/1 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 13.86/1 each by 100:
13.86
×
100
1
×
100
=
1386
100
\frac{13.86 × 100}{1 × 100} = \frac{1386}{100}
1 × 100 13.86 × 100 = 100 1386
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
1386
100
=
693
50
\frac{1386}{100} = \frac{693}{50}
100 1386 = 50 693
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