For the fractions given below : (a) Multiply and reduce the product to lowest form (if possible) (b) Tell whether the fraction obtained is proper or improper. (c) If the fraction obtained is improper then convert it into a mixed fraction. (i) `2/5 xx (5) 1/4` (ii) `(6) 2/5 xx 7/9` (iii) `3/2 xx (5) 1/3` (iv) `5/6 xx (2) 3/7` (v) `(3) 2/5 xx 4/7` (vi) `(2) 3/5 xx 3` (vii) `(2) 3/5 xx 3` (viii) `(3) 4/7 xx 3/5`

Explanation

Let's solve the given fractions step by step.

### (i) \( \frac{2}{5} \times (5 \frac{1}{4}) \)

1. **Convert the mixed fraction to an improper fraction**:
\[ 5 \frac{1}{4} = \frac{5 \times 4 + 1}{4} = \frac{20 + 1}{4} = \frac{21}{4} \]
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