Question

What is 4/5 of 2 1/6

Answer 1

Answer:

the answer is

$\frac{26}{15}$

Step-by-step explanation:

⅘ of 2⅙ is basically the same thing as..

$\frac{4}{5} \times 2 \frac{1}{6}$

to multiply the fractions first convert 2 ⅙ into a improper fraction.

multiply the whole number by the denominator and add the product to the numerator to get the NEW NUMERATOR

$2 \times 6 = 12 \\ 12 + 1 = 13$

but you keep the denominator, so now 2⅙ is..

$\frac{13}{6}$

Now simplify and then multiply.

4 × 13 = 2 × 13

5 × 6 5 × 3

$\frac{2}{5} \times \frac{13}{3 } = \frac{26}{15}$

26/15 or 1 11/15