How do you evaluate $2 \frac{3}{6} \div 2 \frac{4}{5}$ $2\frac { 3} { 6} \div 2\frac { 4} { 5}$ ?

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Answer 1 · 2016-12-19T20:13:38

$\frac{25}{28}$ $25/28$

First we need to rewrite the mixed numbers as improper fractions.

$2 \frac{3}{6} \div 2 \frac{4}{5} = \frac{15}{6} \div \frac{14}{5}$ $2 3/6 divide 2 4/5 = 15/6 divide 14/5$

When dividing by a fraction it is the same as multiplying by its reciprocal.

$\frac{15}{6} \cdot \frac{5}{14} = \frac{45}{84}$ $15/6 * 5/14 = 45/84$

We can now simplify by finding the common factors.

$(3*25)/(3*28) = (cancel3*25)/(cancel3*28) = 25/28$

How do you evaluate 2\frac { 3} { 6} \div 2\frac { 4} { 5}236÷2452\frac { 3} { 6} \div 2\frac { 4} { 5}?