MATH SOLVE

2 months ago

Q:
# What is 340.5 as a fraction?

Accepted Solution

A:

Solution: 340.5 as a fraction is 681/2
Methods
Converting 340.5 to a fraction, Step-by-Step
Step 1:
The first step to converting 340.5 to a fraction is to re-write 340.5 in the form p/q where p and q both are positive integers. To start with, 340.5 can be written as simply 340.5/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 340.5, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 340.5/1 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 340.5/1 each by 10:
340.5
Γ
10
1
Γ
10
=
3405
10
\frac{340.5 Γ 10}{1 Γ 10} = \frac{3405}{10}
1 Γ 10 340.5 Γ 10 β = 10 3405 β
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
3405
10
=
681
2
\frac{3405}{10} = \frac{681}{2}
10 3405 β = 2 681 β
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