Six students are working to simplify the expression shown.
1 answer:
<u>Equivalent and Fully Simplified:</u>
8+7x+4y
<u>Equivalent and not fully simplified:</u>
8+12x-5x+4y
15+7x+4y-7
<u>Note Equivalent:</u>
15-7x-4y
8+17x+4y
8+11y
Step-by-step explanation:
Given expression is:
We will simplify the expression one by one
Now we can categorize the expressions in boxes given below
<u>Equivalent and Fully Simplified:</u>
8+7x+4y
<u>Equivalent and not fully simplified:</u>
8+12x-5x+4y
15+7x+4y-7
<u>Note Equivalent:</u>
15-7x-4y
8+17x+4y
8+11y
Keywords: Expressions, simplification
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Answer:
,
,
.
Step-by-step explanation:
Given fractions ,
,
.
We need to list them from least to greatest.
In order to arrange them from least to greatest, we need to find the least common denominator of ,
,
.
We have 3, 6 and 5 in denominators.
Least common multiple of 3, 6 and 5 is = 30, because 30 is least number that can be divided by all three number 3, 6 and 5.
Let us covert each denominator as 30.
Multiplying first fraction by 10 in top and bottom, we get
Multiplying first fraction by 5 in top and bottom, we get
Multiplying first fraction by 6 in top and bottom, we get
Now, we can check
is the smallest,
is greater and
is the greatest.
Therefore, we can arrange fractions
Writing original fractions in place of equivalent fractions, we can write
,
and
.
Therefore, the order the amounts of paint from least to greatest is:
,
,
.