MATH SOLVE

3 months ago

Q:
# What is 5.042 as a fraction?

Accepted Solution

A:

Solution: 5.042 as a fraction is 2521/500
Methods
Converting 5.042 to a fraction, Step-by-Step
Step 1:
The first step to converting 5.042 to a fraction is to re-write 5.042 in the form p/q where p and q both are positive integers. To start with, 5.042 can be written as simply 5.042/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 5.042, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.042/1 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 5.042/1 each by 1000:
5.042
×
1000
1
×
1000
=
5042
1000
\frac{5.042 × 1000}{1 × 1000} = \frac{5042}{1000}
1 × 1000 5.042 × 1000 = 1000 5042
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
5042
1000
=
2521
500
\frac{5042}{1000} = \frac{2521}{500}
1000 5042 = 500 2521
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