Question

Найдите общий знаменатель. 8/15Найдите общий знаменатель. 3/8Найдите общий знаменатель. 4/15Найдите общий знаменатель. 5/12Найдите общий знаменатель. 11/42Найдите общий знаменатель. 17/60

Answer 1

1) 120, 2) 24, 3) 60, 4)60, 5) 462, 6)1020)))))))

Answer 2

Finding the Common Denominator for Fractions

To find the common denominator for the given fractions, we can follow these steps:

1. Identify the Denominators: The denominators of the fractions are 15, 8, 15, 12, 42, and 60.

2. Find the Least Common Multiple (LCM) of the Denominators: The LCM of the denominators will be the common denominator for all the fractions.

Calculating the Common Denominator

Let's calculate the common denominator using the LCM of the denominators.

The LCM of 15, 8, 12, 42, and 60 is 840.

Expressing Fractions with the Common Denominator

Now, let's express each fraction with the common denominator of 840:

- 8/15 = (8 * 56)/(15 * 56) = 448/840 - 3/8 = (3 * 105)/(8 * 105) = 315/840 - 4/15 = (4 * 56)/(15 * 56) = 224/840 - 5/12 = (5 * 70)/(12 * 70) = 350/840 - 11/42 = (11 * 20)/(42 * 20) = 220/840 - 17/60 = (17 * 14)/(60 * 14) = 238/840

Conclusion

The common denominator for the given fractions is 840. By expressing each fraction with this common denominator, we can compare and perform operations on the fractions easily.