How would I change the improper fraction 56/15 to mixed number in lowest terms?

the problem is 2 2/3 x 1 2/5
Ive figured out how to get to 56/15 but get stuck finishing it...

MULTIPLYING WITH MIXED NUMBERS

Divide 56 by 15

56/15 = 3 11/15

yes

3 11/15

There are 8 table spoons in one stick of butter.if you take 1 tablespoon of butter form a stick how much butter is left

To change the improper fraction 56/15 to a mixed number in its lowest terms, you need to divide the numerator (56) by the denominator (15). The quotient will be the whole number part of the mixed number, and the remainder will be the numerator of the fraction part.

Here's how you can do it step by step:

1. Divide 56 by 15:
- 15 does not go into 5, so you bring down the 6.
- 15 goes into 56 three times (15 x 3 = 45).
- Subtract 45 from 56: 56 - 45 = 11.

2. Write the mixed number:
- The quotient (whole number part) is 3.
- The remainder (numerator part) is 11.
- The denominator remains 15.

Therefore, the mixed number in its lowest terms is 3 11/15.

For your second question, to multiply 2 2/3 by 1 2/5, you can follow these steps:

1. Convert the mixed numbers to improper fractions:
- 2 2/3 = (2 x 3 + 2) / 3 = 8/3
- 1 2/5 = (1 x 5 + 2) / 5 = 7/5

2. Multiply the improper fractions:
- 8/3 x 7/5 = (8 x 7) / (3 x 5) = 56/15.

To simplify the product 56/15, you can follow the steps to change it into a mixed number in lowest terms as explained above.