If A is a fraction such that 0-A-1- then A is a proper fraction-A- FalseB- True

The correct option is B True Since, A is a fraction, it can be written as p/q, where p and q are natural numbers. Since, A lt; 1, we have p/q lt; 1 ⇒ p ...

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Byju's Answer

Standard VII

Mathematics

Proper Fractions

If A is a fra...

Question

If $A$ is a fraction such that $0 < A < 1,$ then $A$ is a proper fraction.

True

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False

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Solution

The correct option is A
True

Since, $A$ is a fraction, it can be written as $\frac{p}{q}$ , where $p$ and $q$ are natural numbers.

Since, $A < 1,$ we have $\frac{p}{q} < 1 \Rightarrow p < q$ , i.e., the numerator is less than the denominator and hence, $A$ is a proper fraction.

Hence, the statement is true.

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Similar questions

If A is a fraction such that A < 1, then A is a proper fraction.

Q. If

a

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b

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a < b

, then

\frac{a}{b}

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If a and b are natural numbers such that a < b, then $\frac{a}{b}$ is a/an __ fraction.

Q. Tim converted the fraction

\frac{5}{3}

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If A is a fraction such that 0<A<1, then A is a proper fraction.

The correct option is A True Since, A is a fraction, it can be written as pq, where p and q are natural numbers. Since, A<1, we have pq<1⇒p<q, i.e., the numerator is less than the denominator and hence, A is a proper fraction. Hence, the statement is true.

If $A$ is a fraction such that $0 < A < 1,$ then $A$ is a proper fraction.