Question

1)7х-1/6=10/3 2)-3,75-(-1,3/4)×(6,2/7-2,3/7×(-17/28)) 3)2x+1/10=1/2 4)-5/13×(1,96÷(-1,2/5)+(-2,4/9)÷(-11/18)) 5)(-9,5÷3,1/6+3,1/4)×(-0,8) 6)3(x-4,1/3)+1,1/6= -3,5 7)(-4,4÷(-2,1/5)-3,2)×5/6 8)2(x+1,1/6)-2,1/3=1,5

Answer 1

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Answer 2

Let's solve the given equations step by step:

1. 7x - 1/6 = 10/3

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

Add 1/6 to both sides:

7x - 1/6 + 1/6 = 10/3 + 1/6 7x = 10/3 + 1/6

To add the fractions on the right side, we need a common denominator. The least common multiple (LCM) of 3 and 6 is 6.

7x = (20/6) + (1/6) 7x = 21/6 7x = 7/2

Divide both sides by 7:

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

Therefore, the solution to the equation is x = 1/2.

2. -3.75 - (-1.3/4) × (6.2/7 - 2.3/7 × (-17/28))

To simplify this expression, we'll perform the operations in the parentheses first.

-3.75 - (-1.3/4) × (6.2/7 - 2.3/7 × (-17/28)) -3.75 - (-1.3/4) × (6.2/7 - 2.3/7 × (-17/28))

Multiply the fractions inside the parentheses first:

-3.75 - (-1.3/4) × (6.2/7 - 2.3/7 × (-17/28)) -3.75 - (-1.3/4) × (6.2/7 - (-17/28)) -3.75 - (-1.3/4) × (6.2/7 + 17/28) -3.75 - (-1.3/4) × (6.2/7 + 17/28) -3.75 - (-1.3/4) × (6.2/7 + 17/28)

Now, simplify the fractions:

-3.75 - (-1.3/4) × (6.2/7 + 17/28) -3.75 - (-1.3/4) × (88/112 + 17/28) -3.75 - (-1.3/4) × (88/112 + 17/28) -3.75 - (-1.3/4) × (88/112 + 17/28)

Find a common denominator for the fractions inside the parentheses:

-3.75 - (-1.3/4) × (88/112 + 17/28) -3.75 - (-1.3/4) × (176/224 + 68/224) -3.75 - (-1.3/4) × (176/224 + 68/224) -3.75 - (-1.3/4) × (176 + 68)/224) -3.75 - (-1.3/4) × (244/224)

Perform the multiplication inside the parentheses:

-3.75 - (-1.3/4) × (244/224) -3.75 - (-1.3 × 244)/(4 × 224) -3.75 - (-1.3 × 244)/(896) -3.75 - (-317.2)/(896) -3.75 + (317.2)/(896)

Now divide:

-3.75 + (317.2)/(896) -3.75 + 0.354911 **