Question

7/12+4/36= 15/27-1/9= 11/14-1/7= 12/15-3/5= 15 7/24+8 1/3=

Answer 1

$\frac{7}{12} + \frac{4}{36} = \frac{7 \times 3}{12 \times 3} + \frac{4}{36} = \frac{21}{36} + \frac{4}{36} = \frac{25}{36}$
$\frac{15}{27} - \frac{1}{9} = \frac{5}{9} - \frac{1}{9} = \frac{4}{9}$
$\frac{11}{14} - \frac{1}{7} = \frac{11}{14} - \frac{2}{14} = \frac{9}{14}$
$\frac{12}{15} - \frac{3}{5} = \frac{4}{5} - \frac{3}{5} = \frac{1}{5}$
$15 \frac{7}{24} + 8 \frac{1}{3} = \frac{15 \times 24 + 7}{24} + \frac{8 \times 3 + 1}{3} = \frac{367}{24} + \frac{25}{3} = \frac{367}{24} + \frac{200}{24} = \frac{567}{24} = \frac{189}{8} = 23 \frac{5}{8}$

Answer 2

7/12+4/36=21/36+4/36=25/36

15/27-1/9=15/27-3/27=12/27=4/9

11/14-1/7=11/14-2/14=9/14

12/15-3/5=12/15-9/15=3/15=1/5

15 7/24+8 1/3= 15 7/24 + 8 8/24=23 15/24

Answer 3

Let's solve each of the equations step by step:

1. 7/12 + 4/36 To add fractions, we need a common denominator. The common denominator here is 36. So, we'll rewrite the fractions with a denominator of 36: 7/12 = (7/12) * (3/3) = 21/36 4/36 = 4/36

Now, we can add them: 21/36 + 4/36 = (21 + 4) / 36 = 25/36

2. 15/27 - 1/9 Again, we need a common denominator. The common denominator here is 27. So, we'll rewrite the fractions with a denominator of 27: 15/27 = 15/27 1/9 = (1/9) * (3/3) = 3/27

Now, we can subtract them: 15/27 - 3/27 = (15 - 3) / 27 = 12/27 = 4/9

3. 11/14 - 1/7 The common denominator is 14. So, we'll rewrite the fractions with a denominator of 14: 11/14 = 11/14 1/7 = (1/7) * (2/2) = 2/14

Now, we can subtract them: 11/14 - 2/14 = (11 - 2) / 14 = 9/14

4. 12/15 - 3/5 The common denominator is 15. So, we'll rewrite the fractions with a denominator of 15: 12/15 = 12/15 3/5 = (3/5) * (3/3) = 9/15

Now, we can subtract them: 12/15 - 9/15 = (12 - 9) / 15 = 3/15 = 1/5

5. 15 7/24 + 8 1/3 To add mixed numbers, first, we add the whole numbers and then the fractions separately.

15 7/24 + 8 1/3 Whole numbers: 15 + 8 = 23

Now, let's work with the fractions: 7/24 + 1/3 To add fractions, we need a common denominator. The common denominator here is 24. So, we'll rewrite the fractions with a denominator of 24: 7/24 = 7/24 1/3 = (1/3) * (8/8) = 8/24

Now, we can add them: 7/24 + 8/24 = (7 + 8) / 24 = 15/24

Since the fraction 15/24 can be simplified, let's simplify it to its lowest terms: 15/24 = (15/3) / (24/3) = 5/8

Therefore, the final result is: 15 7/24 + 8 1/3 = 23 5/8