Question

(3/4-1 7/8)÷3/4+3 1/9×3/7​

Answer 1

Ответ:

$-\frac{1}{6}$

Пошаговое объяснение:

$(\frac{3}{4}-1\frac{7}{8}):\frac{3}{4}+3\frac{1}{9}*\frac{3}{7}$

1) $\frac{3}{4}-1\frac{7}{8}=\frac{3}{4}-\frac{15}{8}= \frac{6-15}{8}=-\frac{9}{8}$

2) $-\frac{9}{8} :\frac{3}{4} =-\frac{9*4}{8*3} =-\frac{3}{2}$

3) $3\frac{1}{9}*\frac{3}{7}=\frac{28*3}{9*7}=\frac{4}{3}$

4) $-\frac{3}{2} +\frac{4}{3} =\frac{-9+8}{6} =-\frac{1}{6}$

Answer 2

(3/4 - 1 7/8) : 3/4 + 3 1/9 * 3/7 = -1/6

1) 3/4 - 1 7/8 = 3/4 - 15/8 = (6-15)/8 = -9/8

2) -9/8 : 3/4 = - (9*4)/(8*3) = - 36/24 = -3/2

3) 3 1/9 * 37 = 28/9 * 3/7 = 4/3

4) -3/2 + 4/3 = (-9+8)/6 = -1/6

Ответ: -1/6

Answer 3

To simplify the expression, let's follow the order of operations (parentheses, exponents, multiplication/division from left to right, and addition/subtraction from left to right).

(3/4 - 1 7/8) ÷ 3/4 + 3 1/9 × 3/7

First, let's simplify the subtraction inside the parentheses:

3/4 - 1 7/8

To subtract mixed numbers, we need to find a common denominator. The common denominator for 4 and 8 is 8.

3/4 = 6/8 (by multiplying numerator and denominator by 2) 1 7/8 = 15/8 (by multiplying the whole number by the denominator and adding the numerator)

Now we can subtract:

6/8 - 15/8 = -9/8

Now let's continue simplifying the expression:

(-9/8) ÷ 3/4 + 3 1/9 × 3/7

Next, let's simplify the division:

(-9/8) ÷ 3/4

To divide fractions, we multiply by the reciprocal:

(-9/8) × (4/3) = -36/24 = -3/2

Now our expression becomes:

-3/2 + 3 1/9 × 3/7

Next, let's simplify the mixed number:

3 1/9 = 28/9

Now our expression becomes:

-3/2 + 28/9 × 3/7

Next, let's multiply:

(28/9) × (3/7) = 84/63 = 4/3

Now our expression becomes:

-3/2 + 4/3

To add or subtract fractions, we need a common denominator. The common denominator for 2 and 3 is 6:

-3/2 = -9/6 4/3 = 8/6

Now our expression becomes:

-9/6 + 8/6

Finally, let's add:

-9/6 + 8/6 = -1/6

Therefore, the simplified expression is -1/6.