Solution: 535.6 as a fraction is 2678/5
Methods
Converting 535.6 to a fraction, Step-by-Step
Step 1:
The first step to converting 535.6 to a fraction is to re-write 535.6 in the form p/q where p and q both are positive integers. To start with, 535.6 can be written as simply 535.6/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 535.6, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 535.6/1 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 535.6/1 each by 10:
535.6
×
10
1
×
10
=
5356
10
\frac{535.6 × 10}{1 × 10} = \frac{5356}{10}
1 × 10 535.6 × 10 = 10 5356
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
5356
10
=
2678
5
\frac{5356}{10} = \frac{2678}{5}
10 5356 = 5 2678
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