Question

7/15+4/9-3/10= объяснения прошу!57/9-3 5/6объясните пожалуйста!!​

Answer 1

$1)\frac{7}{15}+\frac{4}{9}-\frac{3}{10}=\frac{42+40-27}{90}=\frac{55}{90}=\frac{11}{18}\\\\ 2)\frac{57}{9}-3\frac{5}{6}=\frac{57}{9}-\frac{23}{6}=\frac{5}{2}=2\frac{1}{2}=2,5$

Answer 2

Пошаговое объяснение:

$\frac{7}{15} + \frac{4}{9} - \frac{3}{10} = \frac{21}{45} + \frac{20}{45} - \frac{3}{10} = \frac{21 + 20}{45} - \frac{3}{10} = \frac{41}{45} - \frac{3}{10} = \frac{82}{90} - \frac{27}{90} = \frac{8 2 - 27}{90} = \frac{55}{90} = \frac{11}{18}$

$\frac{57}{9} - 3 \frac{5}{6} =\frac{19}{3}-\frac{3\times 6+5}{6} =\frac{19}{3}-\frac{18+5}{6} =\frac{19}{3}-\frac{23}{6} =\frac{38}{6}-\frac{23}{6} =\frac{38-23}{6} =\frac{15}{6} =\frac{5}{2} = 2\frac{1}{2} = 2.5$

Answer 3

To solve the given expressions, let's break them down step by step.

Expression 1: 7/15 + 4/9 - 3/10

To add or subtract fractions, we need to have a common denominator. In this case, the common denominator for 15, 9, and 10 is 90.

Converting each fraction to have a denominator of 90: - 7/15 becomes 42/90 - 4/9 becomes 40/90 - 3/10 becomes 27/90

Now, we can add/subtract the fractions: 42/90 + 40/90 - 27/90 = (42 + 40 - 27)/90 = 55/90

Simplifying the fraction: 55/90 can be reduced to 11/18.

Therefore, the result of the expression 7/15 + 4/9 - 3/10 is 11/18.

Expression 2: 57/9 - 3 + 5/6

To solve this expression, we'll follow the order of operations (PEMDAS/BODMAS), which states that we should perform operations inside parentheses first, then exponents, then multiplication and division (from left to right), and finally addition and subtraction (from left to right).

57/9 - 3 + 5/6 can be rewritten as (57/9) - 3 + (5/6).

Let's simplify each part of the expression:

- (57/9) can be simplified to 6. - 3 remains the same. - (5/6) remains the same.

Now, we can substitute the simplified values back into the expression:

6 - 3 + 5/6

Next, we'll perform the addition and subtraction from left to right:

6 - 3 = 3

3 + 5/6 = (3 * 6 + 5)/6 = (18 + 5)/6 = 23/6

Therefore, the result of the expression 57/9 - 3 + 5/6 is 23/6.

I hope this explanation helps! Let me know if you have any further questions.