(2/3 + 3/4) × (3/6 + 4/9)

2/3 + 3/4

= 2 × 4/3 × 4 + 3 × 3/4 × 3

= 8/12 + 9/12

= 8 + 9/12

= 17/12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12. In practice, it is enough to find the common denominator by multiplying the denominators: 3 × 4 = 12. In the next intermediate step, the fraction result cannot be further simplified by canceling.

Add: 3/6 + 4/9

= 3 × 3/6 × 3 + 4 × 2/9 × 2

= 9/18 + 8/18

= 9 + 8/18

= 17/18

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 9) = 18. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 9 = 54. In the next intermediate step, the fraction result cannot be further simplified by canceling.

2 = 17/12 × 17/18

= 17 × 17/12 × 18

= 289/216

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(289, 216) = 1. In the next intermediate step, the fraction result cannot be further simplified by canceling.