Question

X - 71/5 = 23/10 82/3 – y = 35/6 b - 42/7 = 6 1/14 9 – a = 56/9 (дроби)

Answer 1

Х=71/5+23/10
Х=165/10=16 1/2
У=82/3-35/6
у=129/6=21 1/2
b=42/7+6 1/14
b=169/14=12*1/14
a=9-56/9
a=2 7/9

Answer 2

To solve these equations involving fractions, let's go through each one step by step:

Equation 1: X - 71/5 = 23/10

To isolate X, we can add 71/5 to both sides of the equation: X - 71/5 + 71/5 = 23/10 + 71/5

Simplifying the right side: X = 23/10 + 71/5

To add these fractions, we need a common denominator, which is 10: X = (23/10) + (71/5) = (23/10) + (71/5) * (2/2) [multiplying the second fraction by 2/2 to get a common denominator] = 23/10 + 142/10 = (23 + 142)/10 = 165/10 = 33/2

Therefore, X = 33/2.

Equation 2: 82/3 – y = 35/6

To isolate y, we can subtract 82/3 from both sides of the equation: 82/3 - y - 82/3 = 35/6 - 82/3

Simplifying the left side: -y = 35/6 - 82/3

To subtract these fractions, we need a common denominator, which is 6: -y = (35/6) - (82/3) * (2/2) [multiplying the second fraction by 2/2 to get a common denominator] = 35/6 - 164/6 = (35 - 164)/6 = -129/6 = -43/2

To solve for y, we can multiply both sides of the equation by -1: y = (-43/2) * (-1) = 43/2

Therefore, y = 43/2.

Equation 3: b - 42/7 = 6 1/14

First, let's convert the mixed number 6 1/14 into an improper fraction: 6 1/14 = (6 * 14 + 1) / 14 = (84 + 1) / 14 = 85/14

Now, let's solve for b by adding 42/7 to both sides of the equation: b - 42/7 + 42/7 = 85/14 + 42/7

Simplifying the left side: b = 85/14 + 42/7

To add these fractions, we need a common denominator, which is 14: b = (85/14) + (42/7) * (2/2) [multiplying the second fraction by 2/2 to get a common denominator] = 85/14 + 84/14 = (85 + 84)/14 = 169/14 = 13/1

Therefore, b = 13/1, which is the same as b = 13.

Equation 4: 9 – a = 56/9

To isolate a, we can subtract 9 from both sides of the equation: 9 - a - 9 = 56/9 - 9

Simplifying the left side: -a = 56/9 - 9

To subtract these fractions, we need a common denominator, which is 9: -a = (56/9) - (9) * (9/9) [multiplying the second term by 9/9 to get