Solution: 849.5 as a fraction is 1699/2
Methods
Converting 849.5 to a fraction, Step-by-Step
Step 1:
The first step to converting 849.5 to a fraction is to re-write 849.5 in the form p/q where p and q both are positive integers. To start with, 849.5 can be written as simply 849.5/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 849.5, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 849.5/1 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 849.5/1 each by 10:
849.5
×
10
1
×
10
=
8495
10
\frac{849.5 × 10}{1 × 10} = \frac{8495}{10}
1 × 10 849.5 × 10 = 10 8495
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
8495
10
=
1699
2
\frac{8495}{10} = \frac{1699}{2}
10 8495 = 2 1699
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