Question

А) x + 1/4 = 3/8 б) 2/7 : x = 2 6/7

Answer 1

Ответ:

а)x + 1/4 = 3/8

х = 3/8 - 1/4 = 3/8 - 2/8 = 1/8

б)2/7 : x = 2 6/7

х = 2/7 : 2 6/7 = 2/7 : 20/7 = 2/7*7/20 = 1/1*1/10 = 1/10

Answer 2

Let's solve the equations step by step:

a) x + 1/4 = 3/8

To solve this equation, we'll isolate the variable x.

Subtracting 1/4 from both sides:

x + 1/4 - 1/4 = 3/8 - 1/4

x = 3/8 - 1/4

To simplify the right side, we need a common denominator:

x = 3/8 - 2/8

x = 1/8

Therefore, the solution to the equation is x = 1/8.

b) 2/7 : x = 2 6/7

To solve this equation, we'll start by converting the mixed number on the right side into an improper fraction.

2 6/7 = (7 * 2 + 6)/7 = 20/7

Now we rewrite the equation:

2/7 : x = 20/7

To divide by a fraction, we can multiply by its reciprocal. The reciprocal of x is 1/x.

(2/7) * (1/x) = 20/7

Multiplying fractions:

2/(7x) = 20/7

Cross-multiplying:

2 * 7 = 20 * (7x)

14 = 140x

Dividing both sides by 140:

14/140 = (140x)/140

1/10 = x/1

Therefore, the solution to the equation is x = 1/10.