Question

7/18 + 11/12, 6 7/8 - 3 1/3

Answer 1

Ответ:

$\frac{7}{18} +\frac{11}{12} = \frac{14}{36} +\frac{33}{36}=\frac{47}{36} =1\frac{11}{36}$

$6\frac{7}{8} -3\frac{1}{3} =6\frac{21}{24} -3\frac{8}{24} =3\frac{13}{24}$

Пошаговое объяснение:

Answer 2

Let's solve these arithmetic problems step by step:

1. Add 7/18 and 11/12:

To add these fractions, you need to find a common denominator. The least common multiple (LCM) of 18 and 12 is 36.

Now, we'll rewrite both fractions with a common denominator of 36:

7/18 = (7/18) * (2/2) = 14/36 11/12 = (11/12) * (3/3) = 33/36

Now that both fractions have a common denominator of 36, you can add them:

(14/36) + (33/36) = (14 + 33) / 36 = 47/36

Since 47/36 is an improper fraction (the numerator is greater than the denominator), you can also express it as a mixed number:

47/36 = 1 11/36

So, 7/18 + 11/12 = 1 11/36

2. Subtract 6 7/8 and 3 1/3:

To subtract mixed numbers, first subtract the whole numbers and then subtract the fractions separately.

Whole numbers: 6 - 3 = 3

Now, let's subtract the fractions.

7/8 - 1/3:

To subtract these fractions, you need a common denominator. The LCM of 8 and 3 is 24.

Now, we'll rewrite both fractions with a common denominator of 24:

7/8 = (7/8) * (3/3) = 21/24 1/3 = (1/3) * (8/8) = 8/24

Now that both fractions have a common denominator of 24, you can subtract them:

(21/24) - (8/24) = (21 - 8) / 24 = 13/24

So, 7/8 - 1/3 = 13/24

Now, you have the whole number (3) and the fraction (13/24). You can combine them:

3 13/24

Therefore, 6 7/8 - 3 1/3 = 3 13/24