Each of the fractions is a little over half.
My estimate is a little over 1, perhaps 1 1/4
My estimate is a little over 1, perhaps 1 1/4
60 = 5 * 12
6 / 10 = 6 * 6 / ( 6 * 10 ) = 36 / 60
7 / 12 = 7 * 5 ( 5 * 12 ) = 35 / 60
6 / 10 + 7 / 12 = 36 / 60 + 25 / 60 =
71 / 60 = ( 60 + 11 ) / 60 =
60 / 60 + 11 / 60 =
1 11 / 60
6 / 10 + 7 / 12 = 71 / 60 = 1 11 / 60
6 / 10 + 7 / 12 = 36 / 60 + 35 / 60
Step 1: Find a common denominator for 10 and 12. The least common multiple (LCM) of 10 and 12 is 60.
Step 2: Convert the fractions to have a denominator of 60.
- For 6/10: Multiply the numerator and denominator by 6 (to get 60) -> (6 * 6) / (10 * 6) = 36/60.
- For 7/12: Multiply the numerator and denominator by 5 (to get 60) -> (7 * 5) / (12 * 5) = 35/60.
Step 3: Add the converted fractions: 36/60 + 35/60 = 71/60.
So, the estimated value of 6/10 + 7/12 is 71/60.