MATH SOLVE

1 month ago

Q:
# What is 649.3 as a fraction?

Accepted Solution

A:

Solution: 649.3 as a fraction is 6493/10
Methods
Converting 649.3 to a fraction, Step-by-Step
Step 1:
The first step to converting 649.3 to a fraction is to re-write 649.3 in the form p/q where p and q are both positive integers. To start with, 649.3 can be written as simply 649.3/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 649.3, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 649.3/1 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 649.3/1 each by 10:
649.3
Γ
10
1
Γ
10
=
6493
10
\frac{649.3 Γ 10}{1 Γ 10} = \frac{6493}{10}
1 Γ 10 649.3 Γ 10 β = 10 6493 β
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer:
6493
10
=
6493
10
\frac{6493}{10} = \frac{6493}{10}
10 6493 β = 10 6493 β
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