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Question

Write the following decimal as a fraction in its simplest form.

25.25


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Solution

Given 25.25

Step 1:Write the numerator of the given number leaving out the decimal point and in the denominator, write 1followed by as many zeros as the number of digits after the decimal point.

25.25=2525100

Step 2:Reduce the fraction to its simplest form.

Since, HCF(2525,100)=25

Therefore,2525100=2525÷25100÷25=1014

Hence, the simplest form of the decimal 25.25is 1014


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