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Express each of the following as a fraction in its simplest form

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Express each of the following as a fraction in its simplest form if u answer for points-example-1

2 Answers

2 votes

Answer:

a) (8y + 9)/15.

b) (5x + 10)/8.

Explanation:

(a) y/3 + (y + 3)/5

The LCD of 3 and 5 is 15 so we have:

5y/15 + 3(y + 3)/15

= (5y + 3(y + 3)) / 15

= (5y + 3y + 9)/15

= (8y + 9)/15.

b) 3x/8 + (x + 5)/4

The LCD of 4 and 8 is 8 so we have:

3x/8 + 2(x + 5)/8

= (3x + 2x + 10) / 8

= (5x + 10)/8.

User Ji ASH
by
8.3k points
2 votes

Answer:

see explanation

Explanation:

(a)

Given


(y)/(3) +
(y+3)/(5)

The common denominator is 15 ( the LCM of 3 and 5 )

Multiply numerator/ denominator of first fraction by 5

Multiply the numerator/ denominator of second fraction by 3

=
(5y)/(15) +
(3y+9)/(15) ← add numerators , leaving denominator of 15

=
(5y+3y+9)/(15)

=
(8y+9)/(15)

(b)

Given


(3x)/(8) -
(x+5)/(4)

The common denominator is 8 ( the LCM of 8 and 4 )

Multiply numerator/ denominator of second fraction by 2

=
(3x)/(8) -
(2(x+5))/(8) ← simplify numerators leaving denominator of 8

=
(3x-2x-10)/(8)

=
(x-10)/(8)

User John Coleman
by
8.2k points

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