Answer: 1 and 5/7
Step-by-step explanation: To divide mixed numbers,
first write the mixed numbers as improper fractions.
So here, we can write 2 and 4/7 as the improper fraction 18/7
and we can write 1 and 3/6 as the improper fraction 9/6.
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So here, we have 18/7 ÷ 9/6.
Remember that dividing by a fraction is the same
as multiplying by the reciprocal of that fraction.
So here, 18/7 ÷ 9/6 is the same as 18/7 × 6/9.
So now we're simply multiplying fractions.
Remember that when we're multiplying fractions,
we want to cross-cancel first whenever possible.
So here, notice that we can cross-cancel 9 and 18 to 2 and 1.
However, we can't cross-cancel 7 and 6.
So we simply multiply across the numerators
and then across the denominators and we have 12/7.
We can write 12/7 as the mixed number 1 and 5/7.