Solution: 95.78 as a fraction is 4789/50
Methods
Converting 95.78 to a fraction, Step-by-Step
Step 1:
The first step to converting 95.78 to a fraction is to re-write 95.78 in the form p/q where p and q both are positive integers. To start with, 95.78 can be written as simply 95.78/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 95.78, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 95.78/1 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 95.78/1 each by 100:
95.78
×
100
1
×
100
=
9578
100
\frac{95.78 × 100}{1 × 100} = \frac{9578}{100}
1 × 100 95.78 × 100 = 100 9578
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
9578
100
=
4789
50
\frac{9578}{100} = \frac{4789}{50}
100 9578 = 50 4789
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