Question

3/4+5/87/12+2/35/6+1/245/9+2/3​

Answer 1

Ответ:

1.  1 3/8

2.  1 1/4

3.  7/8

4. 1 2/9

Пошаговое объяснение:

1. 3/4+5/8  = (3*2+5)/8 = 11/8 = 1 3/8

2. 7/12+2/3  = (7+2*4)/12 = 15/12 = 5/4 = 1 1/4

3. 5/6+1/24  = (5*4+1)/24 = 21/24 = 7/8

4. 5/9+2/3 = (5+2*3)/9 = 11/9 = 1 2/9

Answer 2

To add these fractions together, you'll need to find a common denominator. The common denominator in this case is the least common multiple (LCM) of the denominators. Let's break it down step by step:

The fractions are:

1. 3/4
2. 5/8
3. 7/12
4. 2/3
5. 5/6
6. 1/24
7. 5/9
8. 2/3

Now, let's find the LCM of the denominators:

Denominators: 4, 8, 12, 3, 6, 24, 9, 3

LCM: 72

Now, we need to rewrite each fraction with a denominator of 72:

1. (3/4) * (18/18) = 54/72
2. (5/8) * (9/9) = 45/72
3. (7/12) * (6/6) = 42/72
4. (2/3) * (24/24) = 48/72
5. (5/6) * (12/12) = 60/72
6. (1/24) * (3/3) = 3/72
7. (5/9) * (8/8) = 40/72
8. (2/3) * (24/24) = 48/72

Now that we have all the fractions with a common denominator of 72, we can add them:

(54/72) + (45/72) + (42/72) + (48/72) + (60/72) + (3/72) + (40/72) + (48/72)

Now, add the numerators together:

54 + 45 + 42 + 48 + 60 + 3 + 40 + 48 = 300

So, the sum of the fractions is 300/72. To simplify this fraction, you can find the greatest common divisor (GCD) of 300 and 72, and then divide both the numerator and denominator by the GCD:

GCD(300, 72) = 12

Divide both the numerator and denominator by 12:

(300/12) / (72/12) = 25/6

So, the final answer is 25/6.