Question

3 5/10×(-8/21)-13 1/3:(-5/8)=

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Ответ:

Пошаговое объяснение:

3 5/10*(-8/21)-13 1/3:(-5/8)=20

1)3 5/10*(-8/21)=35/10*(-8/21)=(-1 1/3)

2)13 1/3 : (-5/8)=(-21 1/3)

3)(-1 1/3)-(-21 1/3)=20

Answer 3

To solve this expression step by step, we'll follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).

Here's how we'll simplify your expression:

1. Start with the multiplication and division:

   5/10 × (-8/21) = (-1/2) × (-8/21) = (1/2) × (8/21) = 4/21

   13 1/3 ÷ (-5/8) = 40/3 ÷ (-5/8) = (40/3) × (-8/5) = -(320/15) = -64/3

2. Now, subtract the results:

   4/21 - (-64/3)

To subtract fractions, we need a common denominator, which is 21 * 3 = 63. So, we'll convert both fractions to have a denominator of 63:

• For 4/21, multiply the numerator and denominator by 3 to get (4/21) × (3/3) = 12/63.
• For -64/3, multiply the numerator and denominator by 21 to get (-64/3) × (21/21) = -1344/63.

Now, subtract:

12/63 - (-1344/63) = 12/63 + 1344/63 = (12 + 1344)/63 = 1356/63

Finally, simplify the fraction:

1356/63 can be reduced by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 9:

(1356 ÷ 9) / (63 ÷ 9) = 151/7

So, the simplified result of the expression is 151/7.