Question

4 3/7 + 1 4/7 - 3 1/8

Answer 1

Відповідь:

2  7/8

Покрокове пояснення:

Answer 2

To add and subtract mixed numbers, you first need to find a common denominator. In this case, the common denominator is 8 because it's the smallest number that both 7 and 8 can divide into evenly.

Now, let's convert each mixed number to an improper fraction:

1. 4 3/7 as an improper fraction: (4 * 7 + 3)/7 = (28 + 3)/7 = 31/7

2. 1 4/7 as an improper fraction: (1 * 7 + 4)/7 = (7 + 4)/7 = 11/7

3. 3 1/8 as an improper fraction: (3 * 8 + 1)/8 = (24 + 1)/8 = 25/8

Now, you can perform the addition and subtraction:

4 3/7 + 1 4/7 - 3 1/8 = (31/7) + (11/7) - (25/8)

Now, you need to find a common denominator for 7 and 8, which is 56. So, you'll need to rewrite each fraction with a denominator of 56:

(31/7) * (8/8) = 248/56 (11/7) * (8/8) = 88/56 (25/8) * (7/7) = 175/56

Now, you can perform the addition and subtraction:

248/56 + 88/56 - 175/56 = (248 + 88 - 175)/56 = 161/56

Now, you can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 7:

(161/7) / (56/7) = 23/8

So, 4 3/7 + 1 4/7 - 3 1/8 = 23/8 as an improper fraction or 2 7/8 as a mixed number.