Question

what is the sum of 1 2/5 and 5 3/4​

Answer 1

Answer:

$7\frac{3}{20}$

Step-by-step explanation:

Hey there!

Well to add this we need to pu it in improper form.

7/5 + 23/4

Now we need to find the LCM.

5 - 5, 10, 15, 20, 25, 30

4 - 4, 8, 12, 16, 20, 24, 28

So the LCD is 20.

Now we need to change the 5 and 4 to 20.

5*4 = 20

7*4 = 28

28/20

4*5=20

23*5=115

115/20

Now we can add 28 and 115,

= 143/20

Simplified

7 3/20

Hope this helps :)

Answer 2

Answer:

$\boxed{7 \frac{3}{20} }$

Step-by-step explanation:

$\mathrm{1 \frac{2}{5} + 5 \frac{3}{4} }$

Add the whole numbers and fractional parts of the mixed numbers separately

$\mathrm{ = (1 + 5) + ( \frac{2}{5} + \frac{3}{4} })$

Add the numbers

$\mathrm{=6 + ( \frac{2}{5} + \frac{3}{4} )}$

Add the fractions

$\mathrm{=6 + (\frac{2 \times 4 + 3 - 5}{20} )}$

$\mathrm{=6 + \frac{23}{20} }$

Convert the improper fractions into a mixed number

$\mathrm{=6 + 1 \frac{3}{20} }$

Write the mixed number as a sum of the whole number and the fractional part

$\mathrm {= 6 + 1 + \frac{3}{20} }$

Add the numbers

$\mathrm{ = 7 + \frac{3}{20} }$

Write the sum of the whole number and the fraction as a mixed number

$\mathrm{ = 7 \frac{3}{20} }$

Hope I helped

Best regards!