Question

1. Divide the sum of 3/2 and 2/3 by their difference.
2. Solve the following equations:
a) 6x = 12 b) 2p/3 = 18 c) 2.5 = y/4

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Answer 1

Step-by-step explanation:

see attachment

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Answer 2

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1. $= \frac{3}{2} + \frac{2}{3}$

$= lcm \: of \: denominators = 2×3=6$

$= \frac{9+4}{6}$

$= \frac{13}{6}$ (sum)

2. $= \frac{3}{2} - \frac{2}{3}$

= lcm of denomiantors = 2×3=6

$= \frac{9-4}{6}$

$= \frac{5}{6}$ (difference)

3.$= \frac{13}{6} ÷ \frac{5}{6}$

$= \frac{13}{6} × \frac{6}{5}$

$= \frac{13}{5} (division)$

2. $= i. Given= 6x=12$

$= x=\frac{12}{6}$

$= x=2$

$ii. Given = \frac{2p}{3}=18$

$= 2p=(3×18)$

$= 2p=54$

$= p = \frac{54}{2}$

$= x = 27$

iii. $Given = 2.5=\frac{y}{4}$

$= y=2.5×4$

$= y=10.$

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