Question

1) 7/8p×4/9k 2) 1 5/7x × 5/12y

Answer 1

Ответ:

$1) \frac{7}{8} \times \frac{4}{9} = \frac{7}{2} p \times \frac{1}{9} k = \frac{7}{18} kp \\ 2)1 \frac{5}{7}x \times \frac{5}{12} y = \frac{12}{7} x \times \frac{5}{12} y = \frac{1}{7} x \times 5y = \frac{5}{7} xy$

Answer 2

To simplify the given expressions, let's solve them step by step:

1. 7/8p × 4/9k:

To multiply fractions, multiply the numerators together and multiply the denominators together:

(7/8p) × (4/9k) = (7 * 4) / (8p * 9k) = 28 / (72pk) = 7/18pk

Therefore, the simplified expression is 7/18pk.

2. 1 5/7x × 5/12y:

To multiply a whole number with a mixed fraction, convert the whole number into a fraction by multiplying it by the denominator of the fraction and then adding the numerator. Then, multiply the fractions together:

1 5/7x = (7 * 1 + 5)/(7) = 12/7x

Now, multiply the fractions:

(12/7x) × (5/12y) = (12 * 5) / (7x * 12y) = 60 / (84xy) = 5/7xy

Therefore, the simplified expression is 5/7xy.