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Mathematics

State which of the following fractions are proper, improper or mixed:

(i) 1526\dfrac{15}{26}

(ii) 1712\dfrac{17}{12}

(iii) 5235\dfrac{2}{3}

(iv) 68\dfrac{6}{8}

(v) 115711\dfrac{5}{7}

(vi) 1178\dfrac{117}{8}

(vii) 222333\dfrac{222}{333}

(viii) 531247\dfrac{531}{247}

Fractions

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Answer

(i) 1526\dfrac{15}{26}

Here, numerator (15) < denominator (26).

Hence, 1526\dfrac{15}{26} is a proper fraction.

(ii) 1712\dfrac{17}{12}

Here, numerator (17) > denominator (12).

Hence, 1712\dfrac{17}{12} is an improper fraction.

(iii) 5235\dfrac{2}{3}

It consists of a natural number 5 and a proper fraction 23\dfrac{2}{3}.

Hence, 5235\dfrac{2}{3} is a mixed fraction.

(iv) 68\dfrac{6}{8}

Here, numerator (6) < denominator (8).

Hence, 68\dfrac{6}{8} is a proper fraction.

(v) 115711\dfrac{5}{7}

It consists of a natural number 11 and a proper fraction 57\dfrac{5}{7}.

Hence, 115711\dfrac{5}{7} is a mixed fraction.

(vi) 1178\dfrac{117}{8}

Here, numerator (117) > denominator (8).

Hence, 1178\dfrac{117}{8} is an improper fraction.

(vii) 222333\dfrac{222}{333}

Here, numerator (222) < denominator (333).

Hence, 222333\dfrac{222}{333} is a proper fraction.

(viii) 531247\dfrac{531}{247}

Here, numerator (531) > denominator (247).

Hence, 531247\dfrac{531}{247} is an improper fraction.

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