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Combined holding in mixed units

Mental mathEasy

A trader holds $2 \frac{1}{2}$ lots in one book and $3 \frac{1}{4}$ lots in another. How many lots is that in total? Give an improper fraction in lowest terms.

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Hint

Add the whole parts and the fractional parts separately.

Solution

Whole parts: $2 + 3 = 5$ .
Fractional parts: $\frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4}$ .
Together $5 \frac{3}{4}$ .
As an improper fraction, $5 \times 4 + 3 = 23$ , so the total is $\frac{23}{4}$ .

Answer: $\frac{23}{4}$

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