Compute \frac{1}{1 \times 4} + \frac{1}{4 \times 7} + \frac{1}{7 \times 10}
\(\frac{1}{1 \times 4} + \frac{1}{4 \times 7} + \frac{1}{7 \times 10} \)
1/4 + 1/28 + 1/70
4 = 2^2
28 = 2^2 * 7
70 = 2 * 5 * 7 common denominator = 2^2 * 5 * 7 = 140
35/ 140 + 5 /140 + 2 /140 =
[35 + 5 + 2 ] / 140 =
42 / 140 =
3 / 10