Question

Приведите дроби к наименьшему общему знаменателю: 11/35 и 7/45; 7/10 и 5/14; 3/20 и 1/16; 2/15 и 4/27; 5/42 и 3/56; 29/60 и 109/126; 139/270 и 71/450; 17/104 и 59/338. Пожалуйста срочно, очень нужно

Answer 1

1)315
2)70
3)80
4)135
5)168
6)1260
7)1350
8)1352

Answer 2

Fractions with the Least Common Denominator

To find the least common denominator (LCD) for a set of fractions, we need to determine the smallest number that is divisible by all the denominators in the set. Once we have the LCD, we can convert each fraction to an equivalent fraction with that denominator.

Let's find the least common denominator for the following pairs of fractions:

1. 11/35 and 7/45: - The denominators are 35 and 45. - The least common multiple (LCM) of 35 and 45 is 315. - We can convert the fractions to equivalent fractions with a denominator of 315: - 11/35 = (11 * 9)/(35 * 9) = 99/315 - 7/45 = (7 * 7)/(45 * 7) = 49/315

2. 7/10 and 5/14: - The denominators are 10 and 14. - The LCM of 10 and 14 is 70. - We can convert the fractions to equivalent fractions with a denominator of 70: - 7/10 = (7 * 7)/(10 * 7) = 49/70 - 5/14 = (5 * 5)/(14 * 5) = 25/70

3. 3/20 and 1/16: - The denominators are 20 and 16. - The LCM of 20 and 16 is 80. - We can convert the fractions to equivalent fractions with a denominator of 80: - 3/20 = (3 * 4)/(20 * 4) = 12/80 - 1/16 = (1 * 5)/(16 * 5) = 5/80

4. 2/15 and 4/27: - The denominators are 15 and 27. - The LCM of 15 and 27 is 135. - We can convert the fractions to equivalent fractions with a denominator of 135: - 2/15 = (2 * 9)/(15 * 9) = 18/135 - 4/27 = (4 * 5)/(27 * 5) = 20/135

5. 5/42 and 3/56: - The denominators are 42 and 56. - The LCM of 42 and 56 is 168. - We can convert the fractions to equivalent fractions with a denominator of 168: - 5/42 = (5 * 4)/(42 * 4) = 20/168 - 3/56 = (3 * 3)/(56 * 3) = 9/168

6. 29/60 and 109/126: - The denominators are 60 and 126. - The LCM of 60 and 126 is 630. - We can convert the fractions to equivalent fractions with a denominator of 630: - 29/60 = (29 * 21)/(60 * 21) = 609/630 - 109/126 = (109 * 5)/(126 * 5) = 545/630

7. 139/270 and 71/450: - The denominators are 270 and 450.