Question
Subtract as indicated:$5\frac{6}{7}-2\frac{2}{3}$
✓
Answer
$5\frac{6}{7}-2\frac{2}{3}$$=\frac{5\times7+6}{7}-\frac{2\times3+2}{3}$
$=\frac{41}{7}-\frac{8}{3}$
$=\frac{41\times3}{7\times3}-\frac{8\times7}{3\times7}$ (because LCM of 7 and 3 is 21)
$=\frac{123}{21}-\frac{56}{21}$
$=\frac{123-56}{21}$
$=\frac{67}{21}$
$=\frac{41}{7}-\frac{8}{3}$
$=\frac{41\times3}{7\times3}-\frac{8\times7}{3\times7}$ (because LCM of 7 and 3 is 21)
$=\frac{123}{21}-\frac{56}{21}$
$=\frac{123-56}{21}$
$=\frac{67}{21}$
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