Question
Work out Homework Progress 22//48 Marks a) (3)/(4)xx(1)/(2) b) (4)/(7)xx(21)/(40)
Answer
4
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Bartholomew
Professional · Tutor for 6 years
Answer
a) 3/8b) 3/10
Explanation
The task at hand is two-fold. Let's break it down into parts:a) The question first asks to solve the multiplication problem 3/4 × 1/2. This involves the straightforward multiplication of fractions, which is performed by multiplying the numerator (top part) with the numerator of the second fraction, and the denominator (bottom part) with the denominator of the second fraction. b) The second task is to solve 4/7 × 21/40. It again requires the multiplication of fractions, initially processed the same way outlined above. However, there is added level of complexity. Here, before multiplying, we perform the simplification step because 4, 7, 21, and 40 are not prime numbers. Simplification is possible –21 is divisible by 7 and 40 is divisible by 4. This simplification makes the actual multiplication easier.So to answer these, it requires sound knowledge of multiplication and simplification of fractions.