Solution: 41.78 as a fraction is 2089/50
Methods
Converting 41.78 to a fraction, Step-by-Step
Step 1:
The first step to converting 41.78 to a fraction is to re-write 41.78 in the form p/q where p and q both are positive integers. To start with, 41.78 can be written as simply 41.78/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 41.78, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 41.78/1 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 41.78/1 each by 100:
41.78
×
100
1
×
100
=
4178
100
\frac{41.78 × 100}{1 × 100} = \frac{4178}{100}
1 × 100 41.78 × 100 = 100 4178
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
4178
100
=
2089
50
\frac{4178}{100} = \frac{2089}{50}
100 4178 = 50 2089
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