Question

Прочитайте пример 1 в тексте учебника и перечислите шаги, которые надо сделать для приведения дроби к новому знаменателю. Приведите дробь. 3/4 к знаменателю 8, 20, 100, 1000. 2/7 к знаменателю 14, 21, 35, 140. Помогите пожалуйста

Answer 1

Нужно умножить и числитель и знаменатель на одно и то же число
3/4 *2/2=6/8
3/4*5/5=15/20
3/4*25/25=75/100
3/4*250/250=750/1000

2/7*2/2=4/14
2/7*3/3=6/21
2/7*5/5=10/35
2/7*20/20=40/140

Answer 2

Steps to Convert Fractions to a New Denominator

To convert a fraction to a new denominator, you can follow these steps:

1. Identify the current denominator of the fraction. 2. Identify the target denominator to which you want to convert the fraction. 3. Find the least common multiple (LCM) of the current denominator and the target denominator. 4. Multiply the numerator and denominator of the fraction by the appropriate factor to make the denominator equal to the LCM.

Converting 3/4 to Different Denominators

To convert the fraction 3/4 to different denominators, we can follow these steps:

1. Convert 3/4 to a denominator of 8: - The LCM of 4 and 8 is 8. - Multiply both the numerator and denominator of 3/4 by 2 to get the equivalent fraction with a denominator of 8: - 3/4 = (3*2)/(4*2) = 6/8

2. Convert 3/4 to a denominator of 20: - The LCM of 4 and 20 is 20. - Multiply both the numerator and denominator of 3/4 by 5 to get the equivalent fraction with a denominator of 20: - 3/4 = (3*5)/(4*5) = 15/20

3. Convert 3/4 to a denominator of 100: - The LCM of 4 and 100 is 100. - Multiply both the numerator and denominator of 3/4 by 25 to get the equivalent fraction with a denominator of 100: - 3/4 = (3*25)/(4*25) = 75/100

4. Convert 3/4 to a denominator of 1000: - The LCM of 4 and 1000 is 1000. - Multiply both the numerator and denominator of 3/4 by 250 to get the equivalent fraction with a denominator of 1000: - 3/4 = (3*250)/(4*250) = 750/1000

Converting 2/7 to Different Denominators

To convert the fraction 2/7 to different denominators, we can follow these steps:

1. Convert 2/7 to a denominator of 14: - The LCM of 7 and 14 is 14. - Multiply both the numerator and denominator of 2/7 by 2 to get the equivalent fraction with a denominator of 14: - 2/7 = (2*2)/(7*2) = 4/14

2. Convert 2/7 to a denominator of 21: - The LCM of 7 and 21 is 21. - Multiply both the numerator and denominator of 2/7 by 3 to get the equivalent fraction with a denominator of 21: - 2/7 = (2*3)/(7*3) = 6/21

3. Convert 2/7 to a denominator of 35: - The LCM of 7 and 35 is 35. - Multiply both the numerator and denominator of 2/7 by 5 to get the equivalent fraction with a denominator of 35: - 2/7 = (2*5)/(7*5) = 10/35

4. Convert 2/7 to a denominator of 140: - The LCM of 7 and 140 is 140. - Multiply both the numerator and denominator of 2/7 by 20 to get the equivalent fraction with a denominator of 140: - 2/7 = (2*20)/(7*20) = 40/140