Question

practicing adding and subtracting fractions will help you with other probability calculations during the in - class activity. in order to add or subtract fractions, you must have a common denominator. you can also add or subtract fractions using your calculator by first converting each fraction to a decimal (as in questions 1 - 3 above) and then adding or subtracting the results in your calculator. be sure to round carefully. 5) perform the following operations. if you use a common denominator, write your answers in lowest terms. if you use your calculator, round each answer to the nearest hundredth. part a: $\frac{1}{4}+\frac{1}{6}$ part b: $\frac{1}{2}-\frac{1}{3}$ part c: $\frac{2}{3}-\frac{1}{12}$

Explanation:

Step1: Find common denominator for Part A

The common denominator of 4 and 6 is 12. Convert $\frac{1}{4}$ and $\frac{1}{6}$: $\frac{1}{4}=\frac{1\times3}{4\times3}=\frac{3}{12}$, $\frac{1}{6}=\frac{1\times2}{6\times2}=\frac{2}{12}$.

Step2: Add the fractions in Part A

$\frac{3}{12}+\frac{2}{12}=\frac{3 + 2}{12}=\frac{5}{12}\approx0.42$ (rounded to nearest hundred - th).

Step3: Find common denominator for Part B

The common denominator of 2 and 3 is 6. Convert $\frac{1}{2}$ and $\frac{1}{3}$: $\frac{1}{2}=\frac{1\times3}{2\times3}=\frac{3}{6}$, $\frac{1}{3}=\frac{1\times2}{3\times2}=\frac{2}{6}$.

Step4: Subtract the fractions in Part B

$\frac{3}{6}-\frac{2}{6}=\frac{3 - 2}{6}=\frac{1}{6}\approx0.17$ (rounded to nearest hundred - th).

Step5: Find common denominator for Part C

The common denominator of 3 and 12 is 12. Convert $\frac{2}{3}$: $\frac{2}{3}=\frac{2\times4}{3\times4}=\frac{8}{12}$.

Step6: Subtract the fractions in Part C

$\frac{8}{12}-\frac{1}{12}=\frac{8 - 1}{12}=\frac{7}{12}\approx0.58$ (rounded to nearest hundred - th).

Answer:

Part A: $\frac{5}{12}\approx0.42$
Part B: $\frac{1}{6}\approx0.17$
Part C: $\frac{7}{12}\approx0.58$