Question

16/25*(2/3+7/12)-9/10:15/16 решение примера

Answer 1

1. 2/3+7/12=8/12+7/12=15/12
2. 9/10:15/16=9/10•16/15=3•2•2•2•/•5•5=24/25
3. 16/25•15/12=2•2•5/5•5=20/25
4. 20/25-24/25= -4/25=-0,16

Answer 2

To solve the given expression, follow these steps:

Step 1: Simplify the expressions inside the parentheses. Step 2: Perform the addition and subtraction operations from left to right. Step 3: Perform the multiplication and division operations from left to right.

Let's begin:

Step 1: 2/3 + 7/12 = (4/12) + (7/12) = 11/12

Step 2: 16/25 * (11/12) - 9/10 ÷ 15/16

Step 3: 16/25 * 11/12 = (16 * 11) / (25 * 12) = 176 / 300 = 44 / 75

Next, perform the division operation:

9/10 ÷ 15/16 = (9/10) * (16/15) = (9 * 16) / (10 * 15) = 144 / 150 = 24 / 25

Now, the expression becomes:

44/75 - 24/25

To combine the two fractions, find a common denominator:

The least common multiple (LCM) of 75 and 25 is 75.

Convert both fractions to have the denominator of 75:

44/75 = (44 * 1) / (75 * 1) = 44/75

24/25 = (24 * 3) / (25 * 3) = 72/75

Now, the expression becomes:

44/75 - 72/75

Perform the subtraction:

44/75 - 72/75 = (44 - 72) / 75 = -28/75

So, the final answer to the expression is -28/75.