Question

Приведите к общему знаменателю дроби 5/9 и 1/4, 7/10и4/15 ,3/20и5/24,8/11и35/44​

Answer 1

Ответ:

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Answer 2

Finding the Lowest Common Denominator for Fractions

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

1. Identify the Denominators - For the fractions 5/9 and 1/4, the denominators are 9 and 4 respectively. - For the fractions 7/10 and 4/15, the denominators are 10 and 15 respectively. - For the fractions 3/20 and 5/24, the denominators are 20 and 24 respectively. - For the fractions 8/11 and 35/44, the denominators are 11 and 44 respectively.

2. Find the Least Common Multiple (LCM) of the Denominators - The LCM of 9 and 4 is 36. - The LCM of 10 and 15 is 30. - The LCM of 20 and 24 is 120. - The LCM of 11 and 44 is 44.

3. Convert the Fractions to Equivalent Fractions with the Common Denominator - For 5/9 and 1/4: - To convert 5/9 to a fraction with a denominator of 36, we multiply both the numerator and denominator by 4: (5*4)/(9*4) = 20/36. - To convert 1/4 to a fraction with a denominator of 36, we multiply both the numerator and denominator by 9: (1*9)/(4*9) = 9/36. - For 7/10 and 4/15: - To convert 7/10 to a fraction with a denominator of 30, we multiply both the numerator and denominator by 3: (7*3)/(10*3) = 21/30. - To convert 4/15 to a fraction with a denominator of 30, we multiply both the numerator and denominator by 2: (4*2)/(15*2) = 8/30. - For 3/20 and 5/24: - To convert 3/20 to a fraction with a denominator of 120, we multiply both the numerator and denominator by 6: (3*6)/(20*6) = 18/120. - To convert 5/24 to a fraction with a denominator of 120, we multiply both the numerator and denominator by 5: (5*5)/(24*5) = 25/120. - For 8/11 and 35/44: - To convert 8/11 to a fraction with a denominator of 44, we multiply both the numerator and denominator by 4: (8*4)/(11*4) = 32/44. - To convert 35/44 to a fraction with a denominator of 44, no conversion is needed as the denominator is already 44.

Resulting Fractions with a Common Denominator

- The fractions 5/9 and 1/4 can be expressed with a common denominator of 36 as 20/36 and 9/36 respectively. - The fractions 7/10 and 4/15 can be expressed with a common denominator of 30 as 21/30 and 8/30 respectively. - The fractions 3/20 and 5/24 can be expressed with a common denominator of 120 as 18/120 and 25/120 respectively. - The fractions 8/11 and 35/44 can be expressed with a common denominator of 44 as 32/44 and 35/44 respectively.

I hope this helps! If you have further questions or need additional assistance, feel free to ask.