Question

Здравствуйте, вот задание: Выразите дроби в одинаковых долях. 3/25 и 17/300; 5/12, 1/20 и 17/60; 11/30, 19/180 и 1/15

Answer 1

1)    25 и 300  НОК(300)
3/25=36/300 
17/300=17/300

2)   12, 20 и 60 - НОК(60)
5/12=25/60
1/20=3/60
17/60=17/60

3)   30, 180, 15  НОК(180)
11/30=66/180
19/180=19/180
1/15=12/180

Answer 2

Expressing Fractions in Equal Parts

To express fractions in equal parts, we need to find a common denominator for each set of fractions. Once we have a common denominator, we can convert each fraction to an equivalent fraction with that denominator. Let's solve each set of fractions step by step.

1. 3/25 and 17/300:

To find a common denominator for 3/25 and 17/300, we need to find the least common multiple (LCM) of the denominators, which is 300.

To convert 3/25 to an equivalent fraction with a denominator of 300, we multiply both the numerator and denominator by 12: 3/25 * 12/12 = 36/300.

To convert 17/300 to an equivalent fraction with a denominator of 300, we multiply both the numerator and denominator by 1: 17/300 * 1/1 = 17/300.

Therefore, the fractions 3/25 and 17/300 expressed in equal parts are 36/300 and 17/300.

2. 5/12, 1/20, and 17/60:

To find a common denominator for 5/12, 1/20, and 17/60, we need to find the LCM of the denominators, which is 60.

To convert 5/12 to an equivalent fraction with a denominator of 60, we multiply both the numerator and denominator by 5: 5/12 * 5/5 = 25/60.

To convert 1/20 to an equivalent fraction with a denominator of 60, we multiply both the numerator and denominator by 3: 1/20 * 3/3 = 3/60.

To convert 17/60 to an equivalent fraction with a denominator of 60, we multiply both the numerator and denominator by 1: 17/60 * 1/1 = 17/60.

Therefore, the fractions 5/12, 1/20, and 17/60 expressed in equal parts are 25/60, 3/60, and 17/60.

3. 11/30, 19/180, and 1/15:

To find a common denominator for 11/30, 19/180, and 1/15, we need to find the LCM of the denominators, which is 180.

To convert 11/30 to an equivalent fraction with a denominator of 180, we multiply both the numerator and denominator by 6: 11/30 * 6/6 = 66/180.

To convert 19/180 to an equivalent fraction with a denominator of 180, we multiply both the numerator and denominator by 1: 19/180 * 1/1 = 19/180.

To convert 1/15 to an equivalent fraction with a denominator of 180, we multiply both the numerator and denominator by 12: 1/15 * 12/12 = 12/180.

Therefore, the fractions 11/30, 19/180, and 1/15 expressed in equal parts are 66/180, 19/180, and 12/180.

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