Respuesta :

Answer:

59/40

Step-by-step explanation:

.5+3/5+3/8=1.475

1.475=1475/1000

1475/25  1000/25 = 59/40 or 1 19/40 as a mixed number

Answer:

[tex]\frac{59}{40}[/tex]

Step-by-step explanation:

One half of a number can be written as [tex]\frac{1}{2}[/tex]

three fifth of a number can be written as [tex]\frac{3}{5}[/tex]

three eighth of a number can be written as [tex]\frac{3}{8}[/tex]

We have to find the sum of all three

which is

Sum = [tex]\frac{1}{2}+\frac{3}{5}+\frac{3}{8}[/tex]

No we have to make the denominator same for this we have to find the LCM of 2,5,8

Factors of 2 = 2

Factors of 5= 5

Factors of 8 = 2 * 2 * 2

LCM = 2 * 5 * 2 * 2

        =40

Multiplying and dividing  Every term with 40 for making the denominator same

Sum = [tex]\frac{40*1}{2*40}+\frac{3*40}{5*40}+\frac{3*40}{8*40}[/tex]

Cancelling out the terms

Sum = [tex]\frac{20*1}{40}+\frac{3*8}{40}+\frac{3*5}{40}[/tex]

Sum = [tex]\frac{20}{40}+\frac{24}{40}+\frac{15}{40}[/tex]

Adding the terms of numerator

Sum = [tex]\frac{20+24+15}{40}[/tex]

Sum = [tex]\frac{59}{40}[/tex] this is the answer of the required