Question

2) 141/6-(89/10-b)при b=52/3​

Answer 1

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Answer 2

To evaluate the expression 141/6 - (89/10 - b) when b = 52/3, we substitute the value of b into the expression and perform the calculations step by step.

Let's start by evaluating the expression within parentheses:

89/10 - b = 89/10 - 52/3

To subtract fractions, we need to find a common denominator:

The least common multiple (LCM) of 10 and 3 is 30.

Multiplying the numerator and denominator of 89/10 by 3, we get:

89/10 = (89 * 3) / (10 * 3) = 267/30

Multiplying the numerator and denominator of 52/3 by 10, we get:

52/3 = (52 * 10) / (3 * 10) = 520/30

Now, we can substitute these values back into the expression:

141/6 - (89/10 - b) = 141/6 - (267/30 - 520/30)

Next, we can subtract the fractions within parentheses:

267/30 - 520/30 = (267 - 520) / 30 = -253/30

Now, we can substitute this result back into the expression:

141/6 - (89/10 - b) = 141/6 - (-253/30)

To subtract fractions, we need a common denominator:

The least common multiple (LCM) of 6 and 30 is 30.

Multiplying the numerator and denominator of 141/6 by 5, we get:

141/6 = (141 * 5) / (6 * 5) = 705/30

Now, we can substitute these values back into the expression:

141/6 - (-253/30) = 705/30 - (-253/30)

Subtracting fractions with the same denominator, we get:

705/30 - (-253/30) = (705 + 253) / 30 = 958/30

Simplifying the fraction, we divide the numerator and denominator by their greatest common divisor, which is 2:

958/30 = (958/2) / (30/2) = 479/15

Therefore, when b = 52/3, the value of the expression 141/6 - (89/10 - b) is equal to 479/15.