Answer and step-by-step explanation:
To find how many assignments did Kevin completed, add the two given values together.
The two given values are dissimilar fractions. To add them, convert them into similar fractions first.
Multiply the two numerators and denominators by their opposite denominators.
Then proceed to add the numerators and copy the denominator.
Simplify the sum to its lowest form by dividing the numerator and denominator by their GCF.
You can convert the improper fraction to a mixed fraction by dividing the numerator from the denominator. The quotient will be the whole number and the remainder will be the numerator. The denominator will stay as it is.
[tex] \frac{1}{2} + \frac{5}{6} \\ = ( \frac{6}{6} ) \frac{1}{2} + \frac{5}{6} ( \frac{2}{2} ) \\ = \frac{6}{12} + \frac{10}{12} \\ = \frac{6 + 10}{12} \\ = \frac{16}{12} [/tex]
[tex] \\ \frac{16}{12} \div \frac{4}{4} = \frac{4}{3} \\ \frac{4}{3} = 1 \frac{1}{3} [/tex]
Therefore, Kevin completed 1 1/3 assignments in all.
