Answer:
[tex]5 \frac{5}{6} [/tex]
Step-by-step explanation:
First let's turn 2 1/3 into an improper fraction. Multiply the whole number by the denominator, and add the product to the numerator.
2 × 3 = 6
6 + 1 = 7
The new fraction is 7/3
[tex] \frac{7}{3} \div \frac{2}{5} = \frac{7}{3} \times \frac{5}{2} [/tex]
Divide by multiplying the first fraction by the reciprocal of the second fraction. Then multiply straight across.
[tex] \frac{7 \times 5 = 35}{3 \times 2 =6 \: \: }[/tex]
The product is 35/6
Let's divide 35 ÷ 6 = 5.83
So we know the new whole number is 5.
5 × 6 = 30, 35 - 30 = 5, the new numerator.
[tex]5 \frac{5}{6} [/tex]
The new fraction is 5 5/6.
