Answer:
-1 1/5
Step-by-step explanation:
<em>Change the whole number 4 to an improper fraction</em>
-4 4/5 ÷ 4/1 = -4 4/5 ÷ 4/1
<em>Reciprocal the 4/1 will become 1/4 then go to multiplication</em>
-4 4/5 ÷ 4/1 = -4 4/5 × 1/4
<em>Change to improper fraction the -4 4/5</em>
-4 4/5 ÷ 4/1 = -24/5 × 1/4
<em>Then simply multiply the two numerators and the two denominators</em>
-4 4/5 ÷ 4/1 = -24/20
<em>Finally, Simplify it to get the answer</em>
-4 4/5 ÷ 4/1 = -1 1/5
To identify equivalent fractions we must check them by performing the operation (division) or cross products, if the result is the same they are equivalent fractions.
<h3>What are equivalent fractions?</h3>
Equivalent fractions are a mathematical term to refer to those fractions that represent the same quantity even though the numerator and denominator are different.
<h3>How do we know if two fractions are equivalent?</h3>
Two fractions are equivalent if the products of the numerator of one and the denominator of the other are equal, that is, cross products.
Let's see an example:
Let us check if
and
are equivalent.
To do this, we multiply the numerator of one of the fractions by the denominator of the other, as shown below:
Since the result is the same, we can say that the fractions are equivalent.
Note: This question is incomplete because there is some information missing. However I can answer it based on my general prior knowledge.
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Jill is picking up everyone's waterbill so she is paying $60 plus $125 (being half of the water bill) so that comes out to $185.
D=185 in this case
Ron is paying for 1/3 of the rent plus the other half of the water bill. That comes out to 1/3R+125.
A=1/3R+125
And then Jack is paying for Jill's rent as well as his own. That is 2/3 of the rent.
C=2/3R
and then the choice not used is the 'no match' option. Hope this helps :)
5.25 pounds of one alloy containing 45% copper and 36.75 pounds of 69% copper is used to make 42 pounds of 66% copper
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the amount of 45% copper and y represent the amount of 66% copper needed to make 42 pounds of a third alloy containing 66% copper. Hence:
x + y = 42 (1)
Also:
0.45x + 0.69y = 42(0.66) (2)
This gives:
x = 5.25, y = 36.75
5.25 pounds of one alloy containing 45% copper and 36.75 pounds of 69% copper is used to make 42 pounds of 66% copper
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