how do i Perform the indicated operation.
10 3/7+ 19 5/9
10 3/7 + 19 5/9.
Convert to improper fractions:
73/7 + 176/9 =
Find common denominator:
(659 + 1232) / 63 =
1889 / 63 = 29.9841 = 29 62/63.
To perform the indicated operation of adding 10 3/7 and 19 5/9, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
10 3/7 = (10 * 7 + 3) / 7 = 73/7
19 5/9 = (19 * 9 + 5) / 9 = 176/9
Step 2: Find a common denominator for the fractions. In this case, the common denominator is 63 because it is the least common multiple of 7 and 9.
Step 3: Rewrite the fractions with the common denominator.
73/7 = (73/7) * (9/9) = (73 * 9) / (7 * 9) = 657/63
176/9 = (176/9) * (7/7) = (176 * 7) / (9 * 7) = 1232/63
Step 4: Add the fractions.
657/63 + 1232/63 = (657 + 1232) / 63 = 1889/63
Step 5: Simplify the resulting fraction, if possible.
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator, which is 7. Divide both the numerator and denominator by 7.
1889/63 = (1889/7) / (63/7) = 269/9
Therefore, 10 3/7 + 19 5/9 is equal to 269/9.
make improper fractions first. Then look for a common denominator (7*9) you will get something like this:
((73*9 + 9*19*7)/(63))