3 5/7 × 1 1/13

To multiply mixed numbers, we first need to convert them to improper fractions.

Converting 3 5/7 to an improper fraction: 3 is the whole number and 5/7 is the fraction part. To convert the fraction part, multiply the denominator (7) by the whole number (3), which gives us 21. Then, add the numerator of the fraction part (5) to that result, which gives us 26. So, 3 5/7 as an improper fraction is 26/7.

Converting 1 1/13 to an improper fraction: 1 is the whole number and 1/13 is the fraction part. To convert the fraction part, multiply the denominator (13) by the whole number (1), which gives us 13. Then, add the numerator of the fraction part (1) to that result, which gives us 14. So, 1 1/13 as an improper fraction is 14/13.

Now we can multiply the two improper fractions:

(26/7) × (14/13)

To multiply fractions, multiply the numerators together (26 × 14) and multiply the denominators together (7 × 13).

(26 × 14) / (7 × 13)

= 364 / 91

Now we can simplify the fraction by dividing the numerator (364) and the denominator (91) by their greatest common divisor, which is 7.

364 ÷ 7 = 52 91 ÷ 7 = 13

So, the simplified fraction is:

52/13