MATH SOLVE

3 months ago

Q:
# What is 25.14 as a fraction?

Accepted Solution

A:

Solution: 25.14 as a fraction is 1257/50
Methods
Converting 25.14 to a fraction, Step-by-Step
Step 1:
The first step to converting 25.14 to a fraction is to re-write 25.14 in the form p/q where p and q both are positive integers. To start with, 25.14 can be written as simply 25.14/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 25.14, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 25.14/1 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 25.14/1 each by 100:
25.14
Γ
100
1
Γ
100
=
2514
100
\frac{25.14 Γ 100}{1 Γ 100} = \frac{2514}{100}
1 Γ 100 25.14 Γ 100 β = 100 2514 β
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
2514
100
=
1257
50
\frac{2514}{100} = \frac{1257}{50}
100 2514 β = 50 1257 β
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