Alicia uses 3/4 gallon of paint to paint her room. Becca uses for 4/5 gallon more than Alicia to paint her room. How many gallons of paint do they use together

Respuesta :

Answer:

23/10 gallons

Step-by-step explanation:

Alicia uses 3/4 gallon of paint to paint her room.

Alicia use = 3/4 gallon of paint

Becca uses for 4/5 gallon more than Alicia to paint her room.

Becca uses = Alicia (3/4 gallons ) + 4/5

Becca uses = [tex]\frac{3}{4} + \frac{4}{5}[/tex]

Total paint used together = Aliccia used + Becca used

[tex]\frac{3}{4}+\frac{3}{4} + \frac{4}{5}[/tex]

Add like fractions 3/4 + 3/4 becomes 6/4

[tex]\frac{6}{4} + \frac{4}{5}[/tex]

Make the denominators same

[tex]\frac{6*5}{4*5} + \frac{4*4}{5*4}[/tex]

[tex]\frac{30}{20} + \frac{16}{20}[/tex]

[tex]\frac{46}{20}[/tex]

Divide top and bottom by 2

[tex]\frac{23}{10}[/tex] gallons