Question

(-7:(4 1/12-2 5/8)-1 1/10)×1 1/59​

Answer 1

Ответ:

$=\frac{299}{110}$

Пошаговое объяснение:

(-7:(4 1/12-2 5/8)-1 1/10)×1 1/59​

1)  вначале вычисляем в скобках,  $4\frac{1}{12} -2\frac{5}{8} =\frac{97-53}{24} =\frac{44}{24} =\frac{11}{6}$  переведя целую часть в неправильную дробь, с одинаковыми знаминателями.

2) выполняем деление   $7:\frac{11}{6} =\frac{7*6}{11}=\frac{42}{11}$

3)  вычитаем  $\frac{42}{11}-1\frac{1}{10} =\frac{42}{11} -\frac{11}{10} =\frac{42*10-11*11}{110} = \frac{420-121}{110} =\frac{299}{110}$

4) умножаем   $\frac{299}{110} *\frac{11}{59} =\frac{299*11}{110*59}=\frac{299}{10*59}=\frac{299}{590}$  

как то так, если я правильно понял условие

Answer 2

To simplify the expression (-7:(4 1/12 - 2 5/8) - 1 1/10) × 1 1/59, follow these steps:

Step 1: Calculate the value inside the parentheses first. 4 1/12 - 2 5/8 = (49/12) - (21/8)

To subtract these fractions, find a common denominator, which is 24: (49/12) - (21/8) = (49/12) - (63/24)

Now subtract: (49/12) - (63/24) = (49/12) - (63/24) = (49/12) - (63/24)

Step 2: Simplify the expression inside the parentheses: (49/12) - (63/24) = (49/12) - (63/24) = (49/12) - (21/8)

Again, find a common denominator, which is 24: (49/12) - (21/8) = (98/24) - (63/24)

Now subtract: (98/24) - (63/24) = (98 - 63)/24 = 35/24

Step 3: Calculate the value inside the outer parentheses: -7:(35/24) - 1 1/10

To divide by a fraction, multiply by its reciprocal: -7 * (24/35) - 1 1/10

Now calculate the first part: -7 * (24/35) = - (7 * 24)/35 = - (168/35) = - (24/5)

Now, simplify the expression further:

• (24/5) - 1 1/10

To subtract mixed numbers, find a common denominator, which is 10:

• (24/5) - (11/10)

Now subtract:

• (24/5) - (11/10) = (-48/10) - (11/10) = -59/10

Step 4: Finally, multiply by 1 1/59: -59/10 * 1 1/59

To multiply mixed numbers, convert them to improper fractions first: 1 1/59 = (59/59) + (1/59) = 60/59

Now, multiply: (-59/10) * (60/59)

Multiply the numerators and denominators: (-59 * 60) / (10 * 59)

Now, simplify the fraction: (-3540) / (590) = -6

So, the simplified expression is -6.