Solution: 11.75 as a fraction is 47/4
Methods
Converting 11.75 to a fraction, Step-by-Step
Step 1:
The first step to converting 11.75 to a fraction is to re-write 11.75 in the form p/q where p and q both are positive integers. To start with, 11.75 can be written as simply 11.75/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 11.75, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 11.75/1 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 11.75/1 each by 100:
11.75
×
100
1
×
100
=
1175
100
\frac{11.75 × 100}{1 × 100} = \frac{1175}{100}
1 × 100 11.75 × 100 = 100 1175
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
1175
100
=
47
4
\frac{1175}{100} = \frac{47}{4}
100 1175 = 4 47
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