Question

Solve the problem 5/7 divided by 2/3

Answer 1

$Find \;lcd \;of\; two \;fractions\;5/7\; and\;2/3\\\\lcd(7, 3)\; =\; 21\\21/7\; =3\; -\;additional\;multiplier\;of\;the\;first\;fraction\\\\21/3\;=\;7-\;additional\;multiplier\; of\; the \;second \;fraction\\\\5/7=5*3/7*3=15/21\\\\2/3 =2*7/3*7=14/21\\\\2.)\;Sum\;the\;fractions\;with\;the\;same\;denominator:\\\\15/21+14/21=15+14/21=29/21$

$3.)\;Since\;the\;numerator\;is\;greater\;than\;the\;denominator,\;\\convert\;the\;improper\;fraction\;to\;a\;mixed\;number.$

$29/21=1*21+8/21=1*21/21 +8/21=1+8/21$

$So,\;your\;final\;answer\;is\;1\frac{8}{21}$.