Answer:
[tex] \boxed{7 \frac{3}{20} }[/tex]
Step-by-step explanation:
[tex] \mathrm{1 \frac{2}{5} + 5 \frac{3}{4} }[/tex]
Add the whole numbers and fractional parts of the mixed numbers separately
[tex] \mathrm{ = (1 + 5) + ( \frac{2}{5} + \frac{3}{4} })[/tex]
Add the numbers
[tex] \mathrm{=6 + ( \frac{2}{5} + \frac{3}{4} )}[/tex]
Add the fractions
[tex] \mathrm{=6 + (\frac{2 \times 4 + 3 - 5}{20} )}[/tex]
[tex] \mathrm{=6 + \frac{23}{20} }[/tex]
Convert the improper fractions into a mixed number
[tex] \mathrm{=6 + 1 \frac{3}{20} }[/tex]
Write the mixed number as a sum of the whole number and the fractional part
[tex] \mathrm {= 6 + 1 + \frac{3}{20} }[/tex]
Add the numbers
[tex] \mathrm{ = 7 + \frac{3}{20} }[/tex]
Write the sum of the whole number and the fraction as a mixed number
[tex] \mathrm{ = 7 \frac{3}{20} }[/tex]
Hope I helped
Best regards!
