Calculate The Sum Of 1/3 And 1/2 ✓ Solved

Calculate the sum of 1/3 and ½ A. 2/5 B. 5/6 C. 1/3 D. .

1. Calculate the sum of 1/3 and ½.

2. Calculate the product of 1/5 and 1/6.

3. Select the expression that represents the statement "5 more than a number".

4. Determine the value of 5( x + 4) - 7 when x = 7.

5. Determine the value of x (7 - x) + 5 when x = –4.

6. Select the expression that represents the statement "7 times a number".

7. There are 16 ounces in a pound. How many ounces are in 8 pounds?

8. In a given training week, a swimmer completes mile on day one, mile on day two, and mile on day three. How many total miles does the athlete swim in the given week?

9. Select the simplified expression for 6( x - 8) - 4( x - 1) + 3 x.

10. The temperature on one day in January for Phoenix, AZ, is 72 degrees Fahrenheit. On the same day in Barrow, AK, the temperature is -25 degrees Fahrenheit. What is the difference between these two temperatures?

11. If a > 0 and b

12. In a certain restaurant a whole pie has been sliced into 8 equal wedges. Only 2 slices of the pie remain. Three people would each like an equal portion from the remaining slices of pie. What fraction of the original pie should each person receive?

Paper For Above Instructions

This paper presents the solutions to various mathematical problems ranging from basic arithmetic to more advanced algebraic expressions. The focus is to illustrate each calculation step-by-step for clarity.

1. Sum of 1/3 and ½

To calculate the sum of 1/3 and ½, we need a common denominator. The common denominator for 3 and 2 is 6:

  • 1/3 = 2/6
  • ½ = 3/6

Thus, the sum is:

2/6 + 3/6 = 5/6.

2. Product of 1/5 and 1/6

Calculating the product:

1/5 × 1/6 = 1/30.

Therefore, the answer is 1/30.

3. Expression for "5 more than a number"

The expression that represents "5 more than a number n" is:

n + 5.

4. Calculate 5( x + 4) - 7 when x = 7

Substituting x with 7:

5(7 + 4) - 7 = 5(11) - 7 = 55 - 7 = 48.

The value is 48.

5. Value of x (7 - x) + 5 when x = –4

Substituting x with -4:

-4(7 + 4) + 5 = -4(11) + 5 = -44 + 5 = -39.

The value is -39.

6. Representation of "7 times a number"

The expression for "7 times a number n" is:

7n.

7. Ounces in 8 pounds

Since there are 16 ounces in a pound, the total ounces in 8 pounds is:

16 × 8 = 128 ounces.

8. Total miles swum by the athlete

If the swimmer completes mile on day one, mile on day two, and mile on day three, we need to sum the total:

  • Day 1: 1/8 mile
  • Day 2: 1/8 mile
  • Day 3: 1/8 mile

Total = 1/8 + 1/8 + 1/8 = 3/8 miles.

9. Simplified expression for 6( x - 8) - 4( x - 1) + 3x

Simplifying further:

  • 6x - 48 - 4x + 4 + 3x
  • Combine like terms: (6x - 4x + 3x) + (-48 + 4) = 5x - 44.

Thus, the simplified expression is 5x - 44.

10. Temperature difference between Phoenix and Barrow

The difference between 72 degrees Fahrenheit and -25 degrees Fahrenheit is:

72 - (-25) = 72 + 25 = 97 degrees Fahrenheit.

11. Implication of a > 0 and b

Given a > 0 and b

  • a + b

12. Pie slices for three people

If there are 2 slices remaining from a whole pie sliced into 8 wedges, each of the three people will receive:

2 slices / 3 people = 2/3 of the remaining pie.

Conclusion

This paper has covered a series of mathematical questions, providing calculations, interpretations of expressions, and logical deductions based on the given scenarios.

References

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