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Evaluate the expression

j+3/8; j=3/4

2 Answers

3 votes

Answer: j + 3/8 when j = 3/4 is equal to 9/8 or 1 1/8.

Step-by-step explanation: To evaluate the expression, we substitute j with 3/4:

j + 3/8 = (3/4) + 3/8

We can't add these two fractions because they don't have the same denominator. To add fractions, we need to find a common denominator. The smallest number that both 4 and 8 divide into is 8.

(3/4) + 3/8 = (6/8) + 3/8

Now that we have a common denominator, we can add the two fractions:

(6/8) + 3/8 = 9/8

Therefore, j + 3/8 when j = 3/4 is equal to 9/8 or 1 1/8.

User Shyla
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5 votes

Final answer:

To evaluate the expression j + 3/8 when j = 3/4, we replace j with 3/4 to get 3/4 + 3/8, convert 3/4 to 6/8, then add the numerators to get 9/8. Hence, the value of the expression is 9/8.

Step-by-step explanation:

The student is asking to evaluate the expression j + ⅓ when j is equal to ¾. To do this, we simply substitute ¾ for j in the expression and then add the fraction ⅓. Here are the steps to evaluate the expression:

  1. Replace j with ¾ in the expression, so it becomes ¾ + ⅓.
  2. The least common denominator for the fractions ¾ and ⅓ is 8. Thus, we need to convert the fractions so they have the same denominator before we can add them together.
  3. Converting ¾ to an equivalent fraction with a denominator of 8 gives us ⅖. The fraction ⅓ already has a denominator of 8.
  4. Therefore, the expression becomes ⅖ + ⅓.
  5. Add the numerators: 6 + 3 = 9.
  6. Keep the denominator the same: 8.
  7. So the result of the expression with j substituted is ⅛.

Therefore, when j equals ¾, the value of j + ⅓ is ⅛.

User Tenshi Munasinghe
by
7.9k points

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