Question

10.25%is equivalent to
a) 1:4
b) 4:1
c) 3:1​

Answer 1

we are going to convert the decimal number 10.25 to the a:b ratio format. The steps to converting the decimal number 10.25 to a ratio are as follows:

Step 1) Convert the decimal number to a fraction by making 10.25 the numerator and 1 the denominator, like this:

10.25 =

10.25

1

Step 2) Multiply the numerator and denominator by 100 to eliminate the decimal point.

10.25 × 100

1 × 100

=

1025

100

Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF) of 1025 and 100. (The GCF of 1025 and 100 is 25.)

1025 ÷ 25

100 ÷ 25

=

41

4

Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon like this:

41

4

= 41:4

That's all there is to it. Now you know 10.25 as a ratio. Once again, below is the answer to the decimal number 10.25 converted to a ratio:

41:4