Question

Find the least common multiple LCM of (1) 4/7+5/6 (2) 5/7-2/7 (3) 4/6+5/8-6/8please help me anyone ​

Answer 1

Ответ:

1)4/7+5/6=14 2)5/7-2/7=7 3)4/6+5/8-6/8=5

Пошаговое объяснение:

вот ответ

Answer 2

To find the least common multiple (LCM) of fractions, you don't need to calculate the LCM itself, but you need to find a common denominator for all the fractions. Once you have a common denominator, you can perform the operations and simplify the fractions if necessary.

Let's work on each part separately:

(1) Add 4/7 and 5/6: To find a common denominator, you can use the LCM of 7 and 6, which is 42. Then, rewrite the fractions with the common denominator:

(4/7) * (6/6) = 24/42 (5/6) * (7/7) = 35/42

Now, you can add the fractions with the same denominator:

(24/42) + (35/42) = (24 + 35)/42 = 59/42

(2) Subtract 5/7 from 2/7: Since these fractions already share a common denominator (7), you can subtract them directly:

(5/7) - (2/7) = (5 - 2)/7 = 3/7

(3) Add 4/6, 5/8, and subtract 6/8: To find a common denominator for all three fractions, you can use the LCM of 6 and 8, which is 24. Rewrite the fractions with the common denominator:

(4/6) * (4/4) = 16/24 (5/8) * (3/3) = 15/24 (6/8) * (3/3) = 18/24

Now, add and subtract the fractions with the same denominator:

(16/24) + (15/24) - (18/24) = (16 + 15 - 18)/24 = 13/24

So, the results of the three calculations are:

(1) 4/7 + 5/6 = 59/42 (2) 5/7 - 2/7 = 3/7 (3) 4/6 + 5/8 - 6/8 = 13/24