2 and 8/9 + 5 and 5/6 =
2 8/9 + 5 5/6 =
First, make both terms improper fractions. Multiply the
whole number associated with the fraction by the
denominator and add the numerator. I'll use parentheses
to group operations in order to make it clear what numbers
are considered to be a unit.
((18 + 8)/9) + ((30 + 5)/6) =
26/9 + 35/6 =
We want the fractions to have a common denominator,
so multiply 26/9 by 2/2 and multiply 36/6 by 3/3. Note
that 2/2 and 3/3 are equal to 1, so the value of the fractions
will not change.
((2/2) * (26/9)) + ((3/3) * (35/6)) =
((2 * 26) / (2 * 9)) + ((3 * 35) / (3 * 6)) =
(52/18) + (105/18) =
(52 + 105) / 18 =
157 / 18 = 8 13/18