MATH SOLVE

3 months ago

Q:
# What is 4.915 as a fraction?

Accepted Solution

A:

Solution: 4.915 as a fraction is 983/200
Methods
Converting 4.915 to a fraction, Step-by-Step
Step 1:
The first step to converting 4.915 to a fraction is to re-write 4.915 in the form p/q where p and q both are positive integers. To start with, 4.915 can be written as simply 4.915/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 4.915, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 4.915/1 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 4.915/1 each by 1000:
4.915
Γ
1000
1
Γ
1000
=
4915
1000
\frac{4.915 Γ 1000}{1 Γ 1000} = \frac{4915}{1000}
1 Γ 1000 4.915 Γ 1000 β = 1000 4915 β
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
4915
1000
=
983
200
\frac{4915}{1000} = \frac{983}{200}
1000 4915 β = 200 983 β
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