Question

( 2/3+5/8-11/12)*5 1/3

Answer 1

1)2/3+5/8=16/24+15/24=31/24 2)31/24-11/12=31/24-22/24=9/24 3)9/24×5 1/3=9/24×16/3=2

Answer 2

To solve this expression, we can first simplify the fraction inside the parentheses:

2/3 + 5/8 - 11/12

To add or subtract fractions with different denominators, we need to find a common denominator. In this case, we can find the least common multiple (LCM) of 3, 8, and 12, which is 24. Then we can convert each fraction to an equivalent fraction with a denominator of 24:

(2/3) * (8/8) = 16/24 (5/8) * (3/3) = 15/24 (11/12) * (2/2) = 22/24

Now we can add these fractions:

16/24 + 15/24 - 22/24 = 9/24

We can simplify 9/24 by dividing both the numerator and denominator by 3:

9/24 = (9/3) / (24/3) = 3/8

So the expression inside the parentheses simplifies to 3/8, and we can multiply it by 5 1/3. To do this, we first need to convert 5 1/3 to an improper fraction:

5 1/3 = (5 * 3 + 1) / 3 = 16/3

Now we can multiply:

(3/8) * (16/3) = (3 * 16) / (8 * 3) = 48/24

Finally, we can simplify 48/24 by dividing both the numerator and denominator by 24:

48/24 = (48/24) / (24/24) = 2

So the final answer is 2.