Question

Привести к наименьшему общему знаменателю дроби: 1) 5/6 и 3/4 2) 7/8 и 5/6 3) 3/8 и 11/16 4) 5/28 и 9/14 5) 3/7 и 4/9 6) 11/15 и 3/8 7) 13/16 и 11/12 8) 3/8; 5/6 и 1/4 9) 3/14; 4/21 и 5/6 ПОЖАЛУЙСТА ОТВЕТЬТЕ

Answer 1

$\frac{5}{6} \frac{3}{4}=12 \\ \\ \frac{7}{8} \frac{5}{6}=24 \\ \\ \frac{3}{8} \frac{11}{16}=16 \\ \\ \frac{5}{28} \frac{9}{14}=28 \\ \\ \frac{3}{7} \frac{4}{9} =63 \\ \\ \frac{11}{15} \frac{3}{8}=120 \\ \\ \frac{13}{16} \frac{11}{12}=48 \\ \\ \frac{3}{8} \frac{5}{6} \frac{1}{4}=24 \\ \\ \frac{3}{14} \frac{4}{21} \frac{5}{6}=42$

Answer 2

1)10/12;9/12
2)14/24;20/24
3)6/16;11/16
4)5/28;18/28

Answer 3

Finding the Least Common Denominator (LCD) for Fractions

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

Let's find the LCD for each set of fractions and convert them accordingly:

1) 5/6 and 3/4: - The denominators are 6 and 4. - The LCD is the smallest number divisible by both 6 and 4, which is 12. - Converting the fractions to have a denominator of 12: - 5/6 = 10/12 - 3/4 = 9/12

2) 7/8 and 5/6: - The denominators are 8 and 6. - The LCD is the smallest number divisible by both 8 and 6, which is 24. - Converting the fractions to have a denominator of 24: - 7/8 = 21/24 - 5/6 = 20/24

3) 3/8 and 11/16: - The denominators are 8 and 16. - The LCD is the smallest number divisible by both 8 and 16, which is 16. - Converting the fractions to have a denominator of 16: - 3/8 = 6/16 - 11/16 = 11/16

4) 5/28 and 9/14: - The denominators are 28 and 14. - The LCD is the smallest number divisible by both 28 and 14, which is 28. - Converting the fractions to have a denominator of 28: - 5/28 = 5/28 - 9/14 = 18/28

5) 3/7 and 4/9: - The denominators are 7 and 9. - The LCD is the smallest number divisible by both 7 and 9, which is 63. - Converting the fractions to have a denominator of 63: - 3/7 = 27/63 - 4/9 = 28/63

6) 11/15 and 3/8: - The denominators are 15 and 8. - The LCD is the smallest number divisible by both 15 and 8, which is 120. - Converting the fractions to have a denominator of 120: - 11/15 = 88/120 - 3/8 = 45/120

7) 13/16 and 11/12: - The denominators are 16 and 12. - The LCD is the smallest number divisible by both 16 and 12, which is 48. - Converting the fractions to have a denominator of 48: - 13/16 = 39/48 - 11/12 = 44/48

8) 3/8, 5/6, and 1/4: - The denominators are 8, 6, and 4. - The LCD is the smallest number divisible by all three denominators, which is 24. - Converting the fractions to have a denominator of 24: - 3/8 = 9/24 - 5/6 = 20/24 - 1/4 = 6/24

9) 3/14, 4/21, and 5/6: - The denominators are 14, 21, and 6. - The LCD is the smallest number divisible by all three denominators, which is 42. - Converting the fractions to have a denominator of 42: - 3/14 = 9/42 - 4/21 = 8/42 - 5/6 = 35/42

Therefore, the fractions with the least common denominator are:

1) 10/12 and 9/12 2) 21/24 and 20/24 3) 6/16 and 11/16 4) 5/28 and 18/28 5) 27/63 and 28/63 6) 88/120 and 45/120 7) 39/48 and 44/48 8) 9/24, 20/24, and 6/24 9) 9/42, 8/42, and 35/42

I hope this helps! Let me know if you have any further questions.