Question

The mixed fraction representation of
$\frac{7}{3}\text{is \_\_\_\_\_.}$

• A. 2.33
• B. $2\frac{1}{3}$
• C. $7\frac{1}{3}$
• D. It is a proper fraction and hence cannot be represented as a mixed fraction.

Answer 1

The correct option is B

$2\frac{1}{3}$

1. Divide the numerator of the improper fraction by its denominator.
2. The quotient of this division will give the whole number part of the corresponding mixed fraction.
3. The remainder obtained in this division will give the numerator of the fractional part of the corresponding mixed fraction.
4. The original denominator (denominator of the improper fraction) will remain as the denominator of the fractional part of the corresponding mixed fraction.

When 7 is divided by 3, the quotient is 2 and the remainder is 1.
The mixed fraction representation of
$\frac{7}{3}\text{is}2\frac{1}{3}.$