MATH SOLVE

3 months ago

Q:
# What is 5.772 as a fraction?

Accepted Solution

A:

Solution: 5.772 as a fraction is 1443/250
Methods
Converting 5.772 to a fraction, Step-by-Step
Step 1:
The first step to converting 5.772 to a fraction is to re-write 5.772 in the form p/q where p and q both are positive integers. To start with, 5.772 can be written as simply 5.772/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 5.772, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.772/1 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 5.772/1 each by 1000:
5.772
Γ
1000
1
Γ
1000
=
5772
1000
\frac{5.772 Γ 1000}{1 Γ 1000} = \frac{5772}{1000}
1 Γ 1000 5.772 Γ 1000 β = 1000 5772 β
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
5772
1000
=
1443
250
\frac{5772}{1000} = \frac{1443}{250}
1000 5772 β = 250 1443 β
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