Samantha measured [tex]13\frac{1}{8}[/tex] inches for the entire month
Step-by-step explanation:
Samantha is measuring the snowfall in a snow Gog for her science project
We need to find how much snowfall Samantha measured for the entire month
∵ She measured [tex]3\frac{3}{4}[/tex] inches of snow in the 1st week
- Change the mixed number to improper fraction
∵ [tex]3\frac{3}{4}=\frac{(3)(4)+3}{4}=\frac{12+3}{4}=\frac{15}{4}[/tex]
∴ She measured [tex]\frac{15}{4}[/tex] 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
∵ [tex]\frac{15}{4}[/tex] × 2 = [tex]\frac{30}{4}[/tex]
∴ She measured [tex]\frac{30}{4}[/tex] 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
∵ [tex]\frac{15}{4}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{15}{8}[/tex]
∴ She measured [tex]\frac{15}{8}[/tex] 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 = [tex]\frac{15}{4}+\frac{30}{4}+\frac{15}{8}[/tex]
- 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 = [tex]\frac{30}{8}+\frac{60}{8}+\frac{15}{8}[/tex]
- Add the numerators and put the sum over 8
∴ The amount of snowfall = [tex]\frac{105}{8}[/tex]
- 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 = [tex]13\frac{1}{8}[/tex] inches
Samantha measured [tex]13\frac{1}{8}[/tex] inches for the entire month
Learn more:
You can learn more about the fraction in brainly.com/question/1312102
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