Question

Please simplyfy(2 1/4-1 2/3)×1 5/7

Answer 1

Answer:

$\frac{75}{84}$

Step-by-step explanation:

$( \frac{21}{4} - \frac{12}{3} ) \times \frac{5}{7}$

To substract the two fractions, we need to find LCM of the denominator.

LCM of 3 and 4 = 3*4 = 12.

Now let us convert the fraction into equivalent fractions with 12 as denominator. The expression becomes

$= (\frac{21 \times 3}{4 \times 3} - \frac{12 \times 4}{3 \times 4} ) \times \frac{5}{7}$

$= ( \frac{63}{12} - \frac{48}{12} ) \times \frac{5}{7}$

$= \frac{63 - 48}{12} \times \frac{5}{7}$

$= \frac{15}{12} \times \frac{5}{7}$

$= \frac{75}{84}$