Question

2 1/3 :(5/8 - 8/3)-2*1 3/7=

Answer 1

1) $\frac{5}{8} - \frac{8}{3} = \frac{15}{24} - \frac{64}{24}$ = - 49/24
2) 21/3:(-49/24)=21/3*(-24/49)= - 3 3/7
3) 2*1 3/7=2*10/7=20/7
4) -3 3/7-20/7=-24/7-20/7=-44/7=-6 2/7

Answer 2

To solve the expression, let's follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

First, we'll simplify the expression within the parentheses:

(5/8 - 8/3)

To subtract these fractions, we need a common denominator, which is 24.

(5/8 * 3/3) - (8/3 * 8/8) = (15/24) - (64/24) = (-49/24)

Now, we'll solve the division:

2 1/3 ÷ (-49/24)

To divide by a fraction, we multiply by its reciprocal:

2 1/3 * (-24/49)

Next, convert the mixed number to an improper fraction:

(2 * 3 + 1) / 3 = 7/3

Now, perform the multiplication:

(7/3) * (-24/49)

Multiply the numerators and denominators:

= (7 * -24) / (3 * 49) = (-168) / 147 = -56/49

Now, we have the value of the expression:

-56/49

We can simplify this further by dividing both the numerator and denominator by the greatest common divisor (GCD) of 56 and 49, which is 7:

= (-56 ÷ 7) / (49 ÷ 7) = -8/7

So, the result of the expression is -8/7.