Question

32/21*3/4-5/8:(2/5+3/10)

Answer 1

Ответ:

32/21*3/4-5/8:(2/5+3/10)=96/84-5/8:7/10=96/84-24/28=96/84-72/84=24/84=2/7

Пошаговое объяснение:

Answer 2

To solve the expression, you should follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)):

1. First, deal with the division inside the parentheses:

(2/5 + 3/10) = (4/10 + 3/10) = 7/10

2. Next, calculate the multiplication and division from left to right:

32/21 * 3/4 - 5/8 ÷ (7/10)

3. Now, calculate the multiplications and divisions:

(32/21) * (3/4) - (5/8) ÷ (7/10)

To simplify further, find common denominators:

(32/21) * (15/20) - (5/8) ÷ (7/10)

4. Continue with the multiplications and divisions:

(480/420) - (5/8) ÷ (7/10)

5. Simplify fractions and perform division:

(8/7) - (5/8) ÷ (7/10)

6. Invert and multiply for the division:

(8/7) - (5/8) * (10/7)

7. Now, calculate the products and differences:

(8/7) - (50/56)

8. Find a common denominator for the subtraction:

(64/56) - (50/56)

9. Subtract the fractions:

(64/56) - (50/56) = 14/56

10. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (which is 14):

(14/14) / (56/14) = 1/4

So, the result of the expression is 1/4.