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3 years ago

1/4 + 2/8 adding fractions with unlike denominators show the work

Mathematics

2 answers:

otez555 [7]3 years ago

7 0

1/4+2/8 2/8=1/4

=1/4+1/4/8

=2/4

=1/2

BARSIC [14]3 years ago

4 0

The common denominator of the two fractions is: 8
1/4 = (1*2)/(2*4) = 2/82/8 = (1*2)/(1*8) = 2/8
Fractions adjusted to a common denominator1/4 + 2/8 = 2/8 + 2/82/8 + 2/8 = (2+2)/8(2+2)/8 = 4/84/8 = 1/2
The answer is 1/2.

hope this helps.

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Answer:

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Large gift: $7

Step-by-step explanation:

Let x represent cost of wrapping each small gift and y represent cost of wrapping each large gift.

We have been given that day one 41 small gifts were wrapped and 45 large were wrapped equaling $397.

We can represent this information in an equation as:

$41x+45y=397...(1)$

We are also told that day two 30 small gifts were wrapped and 47 large were wrapped equaling $389. We can represent this information in an equation as:

$30x+47y=389...(2)$

From equation (1), we will get:

$x=\frac{397-45y}{41}$

Upon substituting this value in equation (2), we will get:

$30(\frac{397-45y}{41})+47y=389$

$\frac{11910-1350y}{41}+\frac{47*41y}{41}=389$

$\frac{11910-1350y+1927y}{41}=389$

$\frac{11910+577y}{41}=389$

$\frac{11910+577y}{41}\cdot 41=389\cdot 41$

$11910+577y=15949$

$11910-11910+577y=15949-11910$

$577y=4039$

$\frac{577y}{577}=\frac{4039}{577}$

$y=7$

Therefore, cost to wrap a large gift is $7.

Upon substituting $y=7$ in equation $x=\frac{397-45y}{41}$ , we will get:

$x=\frac{397-45(7)}{41}$

$x=\frac{397-315}{41}$

$x=\frac{82}{41}$

$x=2$

Therefore, cost to wrap a small gift is $2.

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