Question

(5/6-1 целая 7/12)×10 целых 2/3+ 3 целых 3/14:5/12

Answer 1

Ответ:

1) Сначала выполняем действие в скобках $\frac{5}{6}$ -$\frac{19}{12}$=приводим к общему знаменателю, общий знаменатель 12, домножим первую дробь на 2, а вторую на 1=$\frac{10}{12}$-$\frac{19}{12}$=-$\frac{9}{12}$=сократим на 3=-$\frac{3}{4}$

2)Потом умножаем -$\frac{3}{4}$*$\frac{32}{3}$=3 и 3 сокращаем на 3, 32 и 4 сокращаем на 4=-8

3)Далее делим $\frac{45}{14}$:$\frac{5}{12}$=вторую дробь переворачиваем=$\frac{45}{14}$:$\frac{5}{12}$=сокращаем 45 и 5 на 5, 14 и 12 на 2=$\frac{9*6}{7*1}$=$\frac{54}{7}$

4)Считаем сумму -8+$\frac{54}{7}$=из второго числа выделим целую часть=-8+$7\frac{5}{7}$=-$\frac{2}{7}$

Answer 2

To solve the expression, let's break it down step by step:

Step 1: Simplify the subtraction and multiplication first.

(5/6 - 1 + 7/12) × 10 + 2/3 + 3 + 3/14 ÷ (5/12)

Step 2: Simplify the addition and subtraction further.

[(5/6 - 1 + 7/12) × 10] + 2/3 + 3 + 3/14 ÷ (5/12)

Step 3: Evaluate the expressions within parentheses.

[(10/12 - 12/12 + 7/12) × 10] + 2/3 + 3 + 3/14 ÷ (5/12)

Step 4: Simplify the expression within the brackets.

[(5/12) × 10] + 2/3 + 3 + 3/14 ÷ (5/12)

Step 5: Simplify further.

[5/12 × 10] + 2/3 + 3 + 3/14 ÷ (5/12)

Step 6: Perform the multiplication.

[50/12] + 2/3 + 3 + 3/14 ÷ (5/12)

Step 7: Convert the mixed numbers to improper fractions.

[50/12] + 6/3 + 3 + 3/14 ÷ (5/12)

Step 8: Add the fractions with a common denominator.

[50/12] + 18/12 + 3 + 3/14 ÷ (5/12)

Step 9: Find the common denominator for the remaining fractions.

[50/12] + [216/12] + 3 + 3/14 ÷ (5/12)

Step 10: Add the fractions.

[266/12] + 3 + 3/14 ÷ (5/12)

Step 11: Convert the whole number 3 to a fraction.

[266/12] + 36/12 + 3/14 ÷ (5/12)

Step 12: Add the fractions.

[266/12] + [432/12] + 3/14 ÷ (5/12)

Step 13: Find the common denominator for the remaining fraction.

[698/12] + 3/14 ÷ (5/12)

Step 14: Perform the division.

[698/12] + 3/14 × (12/5)

Step 15: Simplify the multiplication.

[698/12] + 36/70

Step 16: Find the common denominator.

[698/12] + [216/60]

Step 17: Add the fractions.

[698/12] + [108/60]

Step 18: Convert the fraction to a mixed number.

[698/12] + 1 and 48/60

Step 19: Simplify the mixed number.

[698/12] + 1 and 4/5

Step 20: Find the common denominator.

[698/12] + [60/12]

Step 21: Add the fractions.

[758/12]

Step 22: Simplify the fraction.

63 and 2/12 or 63 and 1/6

Therefore, the result of the expression is approximately 63 and 1/6.