Is (17/8+7/80) a terminating/non-terminating decimal? Express it as a decimal representation.
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(17/8+7/80 is a terminating decimal.
Reason:For a fraction to have terminating decimal the prime factorisation of denominator should contain factor 2 or factor 5 or both factors 2 & 5.
For a fraction to have non-terminating repeating decimal the prime factorisation of denominator should contain factor 2 & any other number or factor 5 & any other number or factors 2,5.& any other number.
since the prime factorisation of 8 & 80 contain factors 2 & 2,5 respectively, the fractions 17/8 and 7/80 terminating decimals. and the sum of two terminating decimal gives terminating decimal.
17/8= 2.125 and 7/80=0.0875 then 2.125 + 0.0875 = 2.2125 which is terminating decimal
Reason:For a fraction to have terminating decimal the prime factorisation of denominator should contain factor 2 or factor 5 or both factors 2 & 5.
For a fraction to have non-terminating repeating decimal the prime factorisation of denominator should contain factor 2 & any other number or factor 5 & any other number or factors 2,5.& any other number.
since the prime factorisation of 8 & 80 contain factors 2 & 2,5 respectively, the fractions 17/8 and 7/80 terminating decimals. and the sum of two terminating decimal gives terminating decimal.
17/8= 2.125 and 7/80=0.0875 then 2.125 + 0.0875 = 2.2125 which is terminating decimal
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