Question

devide the sum of 3/8 and –5/12 by the reciprocal of –15/8 × 16/26.
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Answer 1

Answer:

$\frac{3}{8} + \frac{ - 5}{12} \\ = \frac{9 + ( - 10)}{24} \\ = \frac{9 - 10}{24} \\ \boxed{ = \underline{ \underline{ \large \bf \frac{ - 1}{24} }}} \\ \\ \frac{ - 15}{8} \times \frac{16}{26} \\ = \frac{ - 15}{ _{1 \: \: \: } \cancel 8} \times \frac{ \cancel{ 16} _{ \: \: \: \cancel 2_{ \: \: \: 1} } }{ \cancel{ 26} _{ \: \: \: 13}} \\ \boxed{ = \underline{ \underline{ \large \bf \frac{ - 15}{13} }}} \\ \\ \frac{ - 1}{24} \div \frac{13}{ - 15} \\ = \frac{ - 1}{24} \times \frac{ - 15}{13} \\ = \frac{ - 1}{ _{8 \: \: \: } \cancel{ 24}} \times \frac{ \cancel{ - 15} _{ \: \: \: - 5}}{13} \\ \boxed{ = \underline{ \underline{ \large \bf \frac{5}{104} }}}$