Question

HELP!!!

a) 2 9/25

b) 1 1/100

c) 8 7/50

i)Write each of these as equivalent fractions with a power of 10 in the denominator
ii)Change to equivalent decimals

Answer 1

a) 236/100 = 2.36

b) 101/100 = 1.01

c) 814/100 = 8.14

Explanation:

The divisor in each case is already a factor of 100, so multiply the numerator and denominator by the number that will make the denominator 100. Then add 100 times the integer to the numerator of the fraction.

a) 2 9/25 = (200 +9·4)/(25·4) = 236/100 = 2.36

b) 1 1/100 = (100 +1)/100 = 101/100 = 1.01

c) 8 7/50 = (800 +7·2)/(50·2) = 814/100 = 8.14

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Since each of these fractions has a denominator of 100, the decimal can be written by putting the least significant digit of the numerator in the hundredths place of the decimal number.

For example, for 236/100, putting 6 in the hundredths place puts 3 in the tenths place and 2 in the units place for a decimal number of 2.36.