Question

(2 2/3+1 5/6):1 1/2, (3 1/6-2 7/15):2/5​

Answer 1

Ответ:

(3 1/6-2 7/15):1 2/5=1/2

1)3 1/6-2 7/15=3 5/30-2 14/30= 95/30-74/30=21/30=7/10

2)7/10:1 2/5=7/10:7/5=7/10×5/7=1/2

Пошаговое объяснение:

Answer 2

To simplify the given expressions, we'll perform the operations step by step:

1. (2 2/3 + 1 5/6) ÷ 1 1/2:

First, let's convert the mixed numbers to improper fractions: 2 2/3 = (32 + 2) / 3 = 8/3 1 5/6 = (61 + 5) / 6 = 11/6 1 1/2 = (2*1 + 1) / 2 = 3/2

Now, we can add the fractions: (8/3 + 11/6) ÷ (3/2)

To add these fractions, we need a common denominator, which is 6. So, we'll rewrite them with a common denominator: (16/6 + 11/6) ÷ (3/2)

Now, add the fractions in the numerator: (27/6) ÷ (3/2)

Next, divide by 3/2 (which is the same as multiplying by its reciprocal, 2/3): (27/6) * (2/3)

Now, multiply the fractions: (27 * 2) / (6 * 3) = 54/18

Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 18: (54 ÷ 18) / (18 ÷ 18) = 3/1 = 3

So, (2 2/3 + 1 5/6) ÷ 1 1/2 = 3.

2. (3 1/6 - 2 7/15) ÷ (2/5):

First, let's convert the mixed numbers to improper fractions: 3 1/6 = (63 + 1) / 6 = 19/6 2 7/15 = (152 + 7) / 15 = 37/15

Now, we can subtract the fractions: (19/6 - 37/15) ÷ (2/5)

To subtract these fractions, we need a common denominator, which is 30. So, we'll rewrite them with a common denominator: (95/30 - 74/30) ÷ (2/5)

Now, subtract the fractions in the numerator: (21/30) ÷ (2/5)

Next, divide by 2/5 (which is the same as multiplying by its reciprocal, 5/2): (21/30) * (5/2)

Now, multiply the fractions: (21 * 5) / (30 * 2) = 105/60

Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 15: (105 ÷ 15) / (60 ÷ 15) = 7/4

So, (3 1/6 - 2 7/15) ÷ (2/5) = 7/4.