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Sagot :
Question:
Carlos mixed [tex]\dfrac4{15}\text{ L}[/tex] of chocolate syrup with [tex]\dfrac12\text{ L}[/tex] of milk. Determine a reasonable estimate of the total amount of liquid Carlos mixed
Answer:
0.8 liters of liquid
Step-by-step explanation:
Given
[tex]Chocolate:= \dfrac4{15}\text{ L}[/tex]
[tex]Milk:= \dfrac12\text{ L}[/tex]
Required
An estimate of the total liquid
First, we get the actual total liquid.
[tex]Total = Chocolate + Milk[/tex]
[tex]Total =\dfrac4{15}\text{ L} + \dfrac12\text{ L}[/tex]
Take LCM
[tex]Total =\dfrac{8 + 15}{30}\text{ L}[/tex]
[tex]Total =\dfrac{23}{30}\text{ L}[/tex]
Express as decimal
[tex]Total ={0.7666}\text{ L}[/tex]
Estimate [Approximate]
[tex]Total ={0.8}\text{ L}[/tex]
Answer:
about 3/4
Step-by-step explanation:
start fraction, 3, divided by, 4, end fraction, start text, space, L, end text
Hint #11 / 5
We can make an estimate by picturing each fraction:
A tape diagram made up of two tapes of equal length. The tape on the top is divided into fifteen equal parts with each part labeled one-fifteenth. The first four parts are shaded. The tape on the bottom is divided into two equal parts with each part labeled one-half. The first part is shaded.
A tape diagram made up of two tapes of equal length. The tape on the top is divided into fifteen equal parts with each part labeled one-fifteenth. The first four parts are shaded. The tape on the bottom is divided into two equal parts with each part labeled one-half. The first part is shaded.
Hint #22 / 5
To find the total amount of chocolate milk, we need to add \greenD{\dfrac{4}{15}}
15
4
start color #1fab54, start fraction, 4, divided by, 15, end fraction, end color #1fab54 and \purpleD{\dfrac12}
2
1
start color #7854ab, start fraction, 1, divided by, 2, end fraction, end color #7854ab.
A tape diagram made up of two tapes of equal length. The tape on the top is divided into fifteen equal parts with each part labeled one-fifteenth. The first four parts are shaded. The tape on the bottom is divided into two equal parts with each part labeled one-half. The first part is shaded. Below the tapes, a curved bracket across the tapes is labeled 1.
A tape diagram made up of two tapes of equal length. The tape on the top is divided into fifteen equal parts with each part labeled one-fifteenth. The first four parts are shaded. The tape on the bottom is divided into two equal parts with each part labeled one-half. The first part is shaded. Below the tapes, a curved bracket across the tapes is labeled 1.
Hint #33 / 5
We can compare our sum to benchmarks like {\dfrac12}
2
1
start fraction, 1, divided by, 2, end fraction and 111:
A number line labeled 0 to 1 with tick marks every one-half unit. A tape diagram is above the number line from the tick mark at 0 to the tick mark at 1. The tape diagram is divided into 6 unequal parts. The first 4 parts are equal in size, shaded, and each labeled one-fifteenth. The next part is shaded and labeled one-half. The sixth part is not shaded and not labeled. Together, the five shaded parts of the tape diagram are from the tick mark at zero to an approximate halfway point between the tick mark at one-half and the tick mark at one of the number line.
A number line labeled 0 to 1 with tick marks every one-half unit. A tape diagram is above the number line from the tick mark at 0 to the tick mark at 1. The tape diagram is divided into 6 unequal parts. The first 4 parts are equal in size, shaded, and each labeled one-fifteenth. The next part is shaded and labeled one-half. The sixth part is not shaded and not labeled. Together, the five shaded parts of the tape diagram are from the tick mark at zero to an approximate halfway point between the tick mark at one-half and the tick mark at one of the number lines.
Hint #44 / 5
Our sum is more than
2
1
start fraction, 1, divided by, 2, end fraction but less than 111.
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