Solution: 35.66 as a fraction is 1783/50
Methods
Converting 35.66 to a fraction, Step-by-Step
Step 1:
The first step to converting 35.66 to a fraction is to re-write 35.66 in the form p/q where p and q both are positive integers. To start with, 35.66 can be written as simply 35.66/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 35.66, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 35.66/1 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 35.66/1 each by 100:
35.66
×
100
1
×
100
=
3566
100
\frac{35.66 × 100}{1 × 100} = \frac{3566}{100}
1 × 100 35.66 × 100 = 100 3566
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
3566
100
=
1783
50
\frac{3566}{100} = \frac{1783}{50}
100 3566 = 50 1783
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