Solution: 14.66 as a fraction is 733/50
Methods
Converting 14.66 to a fraction, Step-by-Step
Step 1:
The first step to converting 14.66 to a fraction is to re-write 14.66 in the form p/q where p and q both are positive integers. To start with, 14.66 can be written as simply 14.66/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 14.66, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 14.66/1 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 14.66/1 each by 100:
14.66
Γ
100
1
Γ
100
=
1466
100
\frac{14.66 Γ 100}{1 Γ 100} = \frac{1466}{100}
1 Γ 100 14.66 Γ 100 β = 100 1466 β
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
1466
100
=
733
50
\frac{1466}{100} = \frac{733}{50}
100 1466 β = 50 733 β
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