Question

3*2 7/15 - 5 1/2 *7/9+1 7/48 * 2 2/11 - 2/5 * 6 5/9​

Answer 1

3*2 7/15 - 5 1/2 *7/9+1 7/48 * 2 2/11 - 2/5 * 6 5/9​ = 6 7/15 - 5 1/2 * 7/9+ 1 7/48 * 2 2/11 - 2/5 * 6 5/9 = 6 7/15 - 4 5/18 + 2 1/2 - 2 28/45 = 2 17/90 + (-11/90) = 2 1/15

Answer 2

To solve this expression, you need to follow the order of operations, which is typically remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division - left to right, Addition and Subtraction - left to right). Here's how you can break down and calculate the expression step by step:

1. First, simplify each fraction:

3 * 2 = 6

7/15

5 1/2 = 11/2

7/9

1 7/48 = 55/48

2 2/11 = 24/11

2/5

6 5/9 = 59/9

2. Now, perform the multiplications and divisions from left to right:

6 * 7/15 = 42/15 = 14/5

(11/2) * (7/9) = 77/18

(55/48) * (24/11) = (55 * 24) / (48 * 11) = 1320 / 528 = 55/22 = 5/2

(2/5) * (59/9) = 118/45

3. Finally, add and subtract from left to right:

(14/5) - (77/18) + (5/2) - (118/45)

To perform addition and subtraction, you need a common denominator, which is 90 in this case:

(14/5) * (18/18) - (77/18) * (5/5) + (5/2) * (45/45) - (118/45)

Now, perform the calculations:

(252/90) - (385/90) + (225/90) - (118/45)

Combine the fractions:

(252 - 385 + 225 - 236) / 90

Now, subtract the numerators:

-144 / 90

Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 18:

(-8/5)

So, the simplified result of the expression is -8/5.