(a) Find the sum of: 17,(23×52),−512 (b) If −57=x28. Find x

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Question

(a) Find the sum of:

\frac{1}{7}, (\frac{2}{3} \times \frac{5}{2}), \frac{- 5}{12}

(b) If

\frac{- 5}{7} = \frac{x}{28}

. Find

x

(c) Simplify

\frac{3}{7} \div (\frac{21}{- 55})

[3 MARKS]

Answer:
:
Each part: 1 Mark
(a)

\frac{1}{7} + (\frac{2}{3} \times \frac{5}{2}) + \frac{- 5}{12}

\frac{1}{7} + (\frac{5}{3}) - \frac{5}{12}

\frac{12 + 140 - 35}{84}

(LCM of 7, 3, 12 = 84)

\frac{117}{84}

(b)

\frac{- 5}{7} = \frac{x}{28}

\frac{x}{28} = \frac{- 5}{7}

x = \frac{28 \times (- 5)}{7} = 4 \times (- 5) = - 20

(c)

\frac{3}{7} \div \frac{21}{- 55}

\Rightarrow \frac{3}{7} \times \frac{- 55}{21}

\Rightarrow \frac{1}{7} \times \frac{- 55}{7}

\Rightarrow \frac{- 55}{49}

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