Question

Приведи дроби к общему знаменателю и выполните действие 1/4+5/6; 3/20+7/25; 2/9+1/6; 5/6-3/8; 9/10-3/4; 3/10-2/15 Решите правильно пожалуста,плтз,прошу очень надо дам 5 баллов

Answer 1

1/4+5/6=общий знаменатель-12,значит 3+10/12=13/12=1 целая 1/12
3/20+7/25=15+28/100=43/100
2/9+1/6=4+3/18=7/18
5/6-3/8=20-9/24=11/24
9/10-3/4=18-15/20=3/20
3/10-2/15=9-4/30=5/30

Answer 2

Adding Fractions with Different Denominators

To add fractions with different denominators, we need to find a common denominator and then perform the addition.

Let's solve the given addition problems step by step:

1. 1/4 + 5/6:

To find a common denominator, we need to find the least common multiple (LCM) of the denominators 4 and 6. The LCM of 4 and 6 is 12.

Now, we can rewrite the fractions with the common denominator of 12:

1/4 = 3/12 (multiply the numerator and denominator of 1/4 by 3) 5/6 = 10/12 (multiply the numerator and denominator of 5/6 by 2)

Adding the fractions with the common denominator of 12:

3/12 + 10/12 = 13/12

Therefore, 1/4 + 5/6 = 13/12.

2. 3/20 + 7/25:

To find a common denominator, we need to find the LCM of the denominators 20 and 25. The LCM of 20 and 25 is 100.

Now, we can rewrite the fractions with the common denominator of 100:

3/20 = 15/100 (multiply the numerator and denominator of 3/20 by 5) 7/25 = 28/100 (multiply the numerator and denominator of 7/25 by 4)

Adding the fractions with the common denominator of 100:

15/100 + 28/100 = 43/100

Therefore, 3/20 + 7/25 = 43/100.

3. 2/9 + 1/6:

To find a common denominator, we need to find the LCM of the denominators 9 and 6. The LCM of 9 and 6 is 18.

Now, we can rewrite the fractions with the common denominator of 18:

2/9 = 4/18 (multiply the numerator and denominator of 2/9 by 2) 1/6 = 3/18 (multiply the numerator and denominator of 1/6 by 3)

Adding the fractions with the common denominator of 18:

4/18 + 3/18 = 7/18

Therefore, 2/9 + 1/6 = 7/18.

Subtracting Fractions with Different Denominators

To subtract fractions with different denominators, we also need to find a common denominator and then perform the subtraction.

Let's solve the given subtraction problems step by step:

1. 5/6 - 3/8:

To find a common denominator, we need to find the LCM of the denominators 6 and 8. The LCM of 6 and 8 is 24.

Now, we can rewrite the fractions with the common denominator of 24:

5/6 = 20/24 (multiply the numerator and denominator of 5/6 by 4) 3/8 = 9/24 (multiply the numerator and denominator of 3/8 by 3)

Subtracting the fractions with the common denominator of 24:

20/24 - 9/24 = 11/24

Therefore, 5/6 - 3/8 = 11/24.

2. 9/10 - 3/4:

To find a common denominator, we need to find the LCM of the denominators 10 and 4. The LCM of 10 and 4 is 20.

Now, we can rewrite the fractions with the common denominator of 20:

9/10 = 18/20 (multiply the numerator and denominator of 9/10 by 2) 3/4 = 15/20 (multiply the numerator and denominator of 3/4 by 5)

Subtracting the fractions with the common denominator of 20:

18/20 - 15/20 = 3/20

Therefore, 9/10 - 3/4 = 3/20.

3. 3/10 - 2/15:

To find a common denominator, we need to find the LCM of the denominators 10 and 15. The LCM of 10 and 15 is 30.

Now, we can rewrite the fractions with the common denominator of 30:

3/10 = 9/30 (multiply the numerator and denominator of 3/10 by 3) 2/15 = 4/30 (multiply the numerator and denominator of 2/15 by 2)

Subtracting the fractions with the common denominator of 30:

9/30 - 4/30 = 5/30

Simplifying the fraction:

5/30 = 1/6 (divide the numerator and denominator of 5/30 by 5)

Therefore, 3/10 - 2/15 = 1/6.

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