Question

9/10 * 20/27 +5/16÷10/24 -5/9 * 1 7/20

Answer 1

9/10*20/27+5/16÷10/24-5/9*17/20= 17/18
1) $\frac{9}{10} * \frac{20}{27} = 2/3 2)5/16:10/24=3/4 3)[tex] \frac{5}{9} * \frac{17}{20} = \frac{17}{36}$
4) $\frac{2}{3} + \frac{3}{4} =1 \frac{5}{12}$
5) $1 \frac{5}{12} - \frac{17}{36} = \frac{17}{18}$

Answer 2

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

1. First, perform the multiplication and division from left to right:

   • 9/10 * 20/27 = (9 * 20) / (10 * 27) = 180 / 270 = 2/3
   • 5/16 ÷ 10/24 = (5/16) * (24/10) = (5 * 24) / (16 * 10) = 120 / 160 = 3/4

2. Next, calculate the addition and subtraction from left to right:

   • 2/3 + 3/4 = (8 + 9) / 12 = 17 / 12

   • To perform the subtraction: 1 7/20 = 27/20

   • 5/9 * 27/20 = (5 * 27) / (9 * 20) = 135 / 180 = 3/4

Now, we have the following expression: 17/12 - 3/4

To perform the subtraction of fractions, we need to find a common denominator, which is 12. Converting both fractions to have a denominator of 12:

17/12 - 3/4 = (17/12) - (9/12) = (17 - 9) / 12 = 8/12 = 2/3

So, the final result of the expression is 2/3.