Question

1 Simplify and express answer in simplest form
$1 \frac{1}{4} \times 7 \div ( 12 \frac{7}{12} - 11 \frac{1}{3} )$
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Answer 1

$1\frac{1}{4}\times \:7\div \left(12\frac{7}{12}-11\frac{1}{3}\right)=7$

$1\frac{1}{4}\times \:7\div \left(12\frac{7}{12}-11\frac{1}{3}\right)$

$=\frac{5}{4}\times \:7\div \left(12\frac{7}{12}-11\frac{1}{3}\right)$

$=\frac{5}{4}\times \:7\div \left(\frac{151}{12}-11\frac{1}{3}\right)$

$=\frac{5}{4}\times \:7\div \left(\frac{151}{12}-\frac{34}{3}\right)$

$=\frac{5}{4}\times \:7\div \frac{5}{4}$

$=7$