Question

Samantha is measuring the snowfall in a snow Gog for her science project. The first week she measured 3 3/4 inches of snow the second week she measured twice as much snow, and the third weekShe measured half as much snow as the first week. It did not snow at all in the fourth week. How much snowfall did Samantha measure for the entire month? Explain

Answer 1

Samantha measured $13\frac{1}{8}$ inches for the entire month

Step-by-step explanation:

Samantha is measuring the snowfall in a snow Gog for her science project

• The first week she measured 3 3/4 inches of snow
• The second week she measured twice as much snow, and the third week she measured half as much snow as the first week
• It did not snow at all in the fourth week

We need to find how much snowfall Samantha measured for the entire month

∵ She measured $3\frac{3}{4}$ inches of snow in the 1st week

- Change the mixed number to improper fraction

∵ $3\frac{3}{4}=\frac{(3)(4)+3}{4}=\frac{12+3}{4}=\frac{15}{4}$

∴ She measured $\frac{15}{4}$ inches of snow in the 1st week

∵ She measured twice as much snow as the 1st week in the 2nd week

- Multiply the value of the 1st week by 2

∵ $\frac{15}{4}$ × 2 =  $\frac{30}{4}$

∴ She measured $\frac{30}{4}$ inches of snow in the 2nd week

∵ She measured half as much snow as the 1st week in the 3rd week

- Multiply the value of the 1st week by 1/2

∵ $\frac{15}{4}$ × $\frac{1}{2}$ =  $\frac{15}{8}$

∴ She measured $\frac{15}{8}$ inches of snow in the 3rd week

∵ It did not snow at all in the fourth week

- Add the values of the three weeks above to find the amount

  of snowfall she measured for the entire month

∵ The amount of snowfall = $\frac{15}{4}+\frac{30}{4}+\frac{15}{8}$

- To add the fraction you must make all the denominator same number

  so multiply the 1st and 2nd fractions by 2 up and down to make all

  the denominator equal 8

∴ The amount of snowfall = $\frac{30}{8}+\frac{60}{8}+\frac{15}{8}$

- Add the numerators and put the sum over 8

∴ The amount of snowfall = $\frac{105}{8}$

- You can change the improper fraction to mixed number by divide

  105 by 8 and put the reminder over 8

∵ 105 ÷ 8 = 13 and 1/8

∴ The amount of the snowfall = $13\frac{1}{8}$ inches

Samantha measured $13\frac{1}{8}$ inches for the entire month

Learn more:

You can learn more about the fraction in brainly.com/question/1312102

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