MATH SOLVE

4 months ago

Q:
# What is 24.78 as a fraction?

Accepted Solution

A:

Solution: 24.78 as a fraction is 1239/50
Methods
Converting 24.78 to a fraction, Step-by-Step
Step 1:
The first step to converting 24.78 to a fraction is to re-write 24.78 in the form p/q where p and q are both positive integers. To start with, 24.78 can be written as simply 24.78/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 24.78, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 24.78/1 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 24.78/1 each by 100:
24.78
×
100
1
×
100
=
2478
100
\frac{24.78 × 100}{1 × 100} = \frac{2478}{100}
1 × 100 24.78 × 100 = 100 2478
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer:
2478
100
=
1239
50
\frac{2478}{100} = \frac{1239}{50}
100 2478 = 50 1239
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