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 = 3

Answer 2

To simplify the expression, follow the order of operations (PEMDAS/BODMAS):

P: Parentheses/Brackets E: Exponents/Orders (none in this case) MD: Multiplication and Division (from left to right) AS: Addition and Subtraction (from left to right)

Let's start with the multiplication and division:

3 × 2 = 6

7/15 - 5 1/2 × 7/9 + 1 7/48 × 2 2/11 - 2/5 × 6 5/9 = 7/15 - (11/2 × 7/9) + (47/48 × 24/11) - (2/5 × 59/9)

Next, perform the multiplications:

(11/2 × 7/9) = (77/18)

(47/48 × 24/11) = (47/2)

(2/5 × 59/9) = (118/45)

Now the expression becomes:

7/15 - 77/18 + 47/2 - 118/45

Now, let's find a common denominator for these fractions, which is 90:

7/15 = 42/90

77/18 = 385/90

47/2 = 235/90

118/45 = 118/45

The expression is now:

42/90 - 385/90 + 235/90 - 118/45

Next, combine the fractions with the same denominators:

(42 - 385 + 235 - 118) / 90

Now, calculate the numerator:

42 - 385 + 235 - 118 = -226

The expression becomes:

-226 / 90

Finally, simplify the fraction:

-226 ÷ 2 = -113

So, the simplified expression is:

-113/90