Question

3) 2/5 * 6/13 + 1/4 * 6/13 4) 3 3/4 * 2/5 - 3 6/25 * 5/27 5) 3/5 - 3/5 * 2/7 6) 1/7 * 1/8 + 1/7 * 1/6 ДАЮ 30 БАЛЛОВ!

Answer 1

6/13(2/5+1/4)= 6/13(8/20+5/20)=6/13*13/20= 3/10

4) 3 3/4= 15/4

3 6/25= 81/25

15/4*2/5-81/25*5/27= 3/2-3/5= 15/10-6/10=9/10=0,9

5) 3/5-6/35=21/35-6/35=15/35=3/7

6) 1/7(1/8+1/6)=1/7(6/48+8/48)=1/7*14/48=1/7*7/14= 1/14

Пошаговое объяснение:

Общий множитель выносим за скобки .

Приводим к одинаковом знаменателю .

Сокращаем.

Переводим в неправильную дробь.

Answer 2

To solve these equations, let's simplify the expressions step by step:

4. 3 3/4 * 2/5 - 3 6/25 * 5/27:

First, convert the mixed numbers to improper fractions: 3 3/4 = (4 * 3 + 3)/4 = 15/4 3 6/25 = (25 * 3 + 6)/25 = 81/25

Now, calculate the equation: (15/4) * (2/5) - (81/25) * (5/27)

To simplify the fractions, we can find the least common denominator (LCD), which is 100. Multiply the numerators by the appropriate factors to get the same denominator: [(15 * 20) / (4 * 5)] - [(81 * 4) / (25 * 4)] * [(5 * 4) / (27 * 4)] = (300/20) - (324/100) = 15/1 - 81/100

Now, let's subtract the fractions: (15/1) - (81/100)

To subtract fractions, we need a common denominator. Multiply the denominators together: (15/1) - (81/100) = (15/1) - (81/100)

Now, we can subtract the fractions: = [(15 * 100) - (81 * 1)] / (1 * 100) = (1500 - 81) / 100 = 1419/100

So the answer to equation 4) is 1419/100.

5. 3/5 - 3/5 * 2/7:

To multiply fractions, multiply the numerators together and the denominators together: (3/5) * (2/7) = (3 * 2) / (5 * 7) = 6/35

Now, subtract the fractions: (3/5) - (6/35)

To subtract fractions, we need a common denominator. Multiply the denominators together: (3/5) - (6/35) = (3 * 7) / (5 * 7) - (6/35) = 21/35 - 6/35

Now, we can subtract the fractions: = (21 - 6) / 35 = 15/35

To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 5: (15/35) ÷ (5/5) = (15/35) ÷ 1 = 15/35

So the answer to equation 5) is 15/35.

6. 1/7 * 1/8 + 1/7 * 1/6:

To multiply fractions, multiply the numerators together and the denominators together: (1/7) * (1/8) = (1 * 1) / (7 * 8) = 1/56

(1/7) * (1/6) = (1 * 1) / (7 * 6) = 1/42

Now, add the fractions: (1/7) * (1/8) + (1/7) * (1/6) = 1/56 + 1/42

To add fractions, we need a common denominator. Multiply the denominators together: (1/56) + (1/42) = (1 * 42) / (56 * 42) + (1 * 56) / (42 * 56) = 42/