To add the fractions 3 11/21 and 2 4/15, we first need to convert them to improper fractions.
3 11/21 = (3 21 + 11)/21 = 64/212 4/15 = (2 15 + 4)/15 = 34/15
To add these two fractions, we need to find a common denominator, which in this case is 105 (since 21 and 15 both go into 105).
64/21 = (64 5)/(21 5) = 320/10534/15 = (34 7)/(15 7) = 238/105
Now, we can add these two fractions together:
320/105 + 238/105 = (320 + 238)/105 = 558/105
Finally, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:
558/105 = (558 ÷ 3) / (105 ÷ 3) = 186/35
Therefore, 3 11/21 + 2 4/15 = 14 13/35.
To add the fractions 3 11/21 and 2 4/15, we first need to convert them to improper fractions.
3 11/21 = (3 21 + 11)/21 = 64/21
2 4/15 = (2 15 + 4)/15 = 34/15
To add these two fractions, we need to find a common denominator, which in this case is 105 (since 21 and 15 both go into 105).
64/21 = (64 5)/(21 5) = 320/105
34/15 = (34 7)/(15 7) = 238/105
Now, we can add these two fractions together:
320/105 + 238/105 = (320 + 238)/105 = 558/105
Finally, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:
558/105 = (558 ÷ 3) / (105 ÷ 3) = 186/35
Therefore, 3 11/21 + 2 4/15 = 14 13/35.