Evaluate$\frac{14\div \frac{1}{3} of\; 5\frac{1}{4} - \;\frac{3}{4}\times\;1 \frac{1}{3}}{\frac{3}{5}\times 6\frac{1}{4} + 1\frac{1}{2}}$

Without using a calculator evaluate

$\frac{14\div \frac{1}{3} of\; 5\frac{1}{4} - \;\frac{3}{4}\times\; 1\frac{1}{3}}{\frac{3}{5}\times 6\frac{1}{4} + 1\frac{1}{2}}$

Answers

Use BODMAS

Numerator: of: $\frac{1}{3}$ x $\frac{21}{4}$ = $\frac{7}{4}$

therefore 14 $\div$ $\frac{7}{4}$ - 3$\frac{3}{4}$ x 1$\frac{1}{3}$

Division: 14 x $\frac{4}{7}$ = 8

therefore 8 - 3$\frac{3}{4}$ x 1$\frac{1}{3}$

Multiplication = $\frac{3}{5}$ x $\frac{25}{4}$ = $\frac{15}{4}$

= $\frac{15}{4}$ + $\frac{3}{2}$ = $\frac{15\; +\; 6}{4}$ = $\frac{21}{4}$

3 $\div$ $\frac{21}{4}$ = 3 x $\frac{4}{21}$ = $\frac{4}{7}$

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johnmulu answered the question on March 6, 2017 at 06:13

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