Question

(х-1 1/10):2+4 1/5= 5 1/3

Answer 1

(5 1/3-4 1/5=1 2/15

1 2/15×2=2 4/15

2 4/15+1 1/10=3 11/33)

Х=5 1/3+4 1/5×2+1 1/10

Х=3 11/33

Answer 2

Let's break down the expression step by step:

1. Start with the expression: (х - 1 1/10) / 2 + 4 1/5

2. First, let's simplify the fractions:

   • 1 1/10 can be converted to an improper fraction: 1 1/10 = (10/10 + 1/10) = 11/10
   • 4 1/5 can be converted to an improper fraction: 4 1/5 = (5/5 + 1/5) = 21/5

3. Now, our expression becomes: (х - 11/10) / 2 + 21/5

4. Next, let's find a common denominator for the fractions in the expression. The common denominator for 2 and 5 is 10.

5. Rewrite the fractions with a common denominator:

   • (х - 11/10) / 2 can be rewritten as (5/10)(х - 11/10)
   • 21/5 can be rewritten as (2/10) * 21 = 42/10

6. Now, the expression becomes: (5/10)(х - 11/10) + 42/10

7. Combine the fractions:

   • (5/10)(х - 11/10) + 42/10 = (5/10)(х - 11/10 + 42/10)

8. Now, distribute the 5/10 inside the parentheses:

   • (5/10)(х - 11/10 + 42/10) = (5/10)(х + 31/10)

9. Simplify further by canceling common factors. Both 5 and 10 are divisible by 5:

   • (5/10)(х + 31/10) = (1/2)(х + 31/10)

So, the simplified expression is: (1/2)(х + 31/10) = 5 1/3

Now, you can solve for х:

(1/2)(х + 31/10) = 5 1/3

First, convert 5 1/3 to an improper fraction: 5 1/3 = (3/3)(5) + 1/3 = 16/3

Now, the equation becomes:

(1/2)(х + 31/10) = 16/3

To isolate х, multiply both sides by 2 to get rid of the fraction:

х + 31/10 = (16/3) * 2

х + 31/10 = 32/3

Now, subtract 31/10 from both sides:

х = (32/3) - (31/10)

To subtract these fractions, you need a common denominator, which is 30:

х = (32/3)(10/10) - (31/10)(3/3)

х = (320/30) - (93/30)

Now, subtract the fractions:

х = (320 - 93) / 30

х = 227/30

So, the value of х is 227/30.