Question

Prove 13/80 is terminating decimals

Answer 1

Step-by-step explanation:

lcm of80 is2×2×2×2×5

so it is terminating

Answer 2

13/80 is terminating decimals

We know that if the denominator of a rational number i.e in $\frac{p}{q}$ form where q  $\neq$ 0 has no prime factors other than 2 or 5, then it can be expressed as a terminating, otherwise it has non - terminating repeating decimal representation. Thus, we will have to check the prime factors of the denominators of each of the given rational numbers.

In , the given expression $\frac{13}{80}$ denominator is 80.

80 = 2 × 2 × 2 × 2 × 5.

Thus, 80 has only 2 and 5 as prime factors.

Hence,  must have a terminating decimal representation.

∴ Terminating decimal representation of $\frac{13}{80}$ = 0.1625

Know More

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