Question

1) -3 5/7 + 2 3/4 =2) -3 + 12 3/4 =

Answer 1

1) -3 5/7 + 2 3/4 = - 3 20/28 + 2 21/28 = 2 21/28 - 3 20/28 = 77/28 - 104/28 = - 27/28
2) -3 + 12 3/4 = 12 3/4 - 3 = 9 3/4

Answer 2

1) -11/14
2)9 3/4 это уже сокращенные варианты

Answer 3

To solve these arithmetic expressions, we'll follow the rules of addition and convert mixed numbers to improper fractions if needed.

1. $-3 \frac{5}{7} + 2 \frac{3}{4}$:

Step 1: Convert mixed numbers to improper fractions: $-3 \frac{5}{7} = -\frac{(3 \times 7) + 5}{7} = -\frac{26}{7}$ $2 \frac{3}{4} = \frac{(2 \times 4) + 3}{4} = \frac{11}{4}$

Step 2: Find a common denominator, which is the least common multiple (LCM) of 7 and 4, which is 28.

Step 3: Rewrite both fractions with a common denominator: $-\frac{26}{7} = -\frac{26 \times 4}{7 \times 4} = -\frac{104}{28}$ $\frac{11}{4} = \frac{11 \times 7}{4 \times 7} = \frac{77}{28}$

Step 4: Perform the addition: $-\frac{104}{28} + \frac{77}{28} = \frac{-104 + 77}{28} = \frac{-27}{28}$

Therefore, $-3 \frac{5}{7} + 2 \frac{3}{4} = -\frac{27}{28}$.

2. $-3 + 12 \frac{3}{4}$:

Step 1: Convert the mixed number to an improper fraction: $12 \frac{3}{4} = \frac{(12 \times 4) + 3}{4} = \frac{51}{4}$

Step 2: Add the whole number and the fraction: $-3 + \frac{51}{4}$

Step 3: Find a common denominator. In this case, there is no need to change the denominator since both numbers already have the same denominator, which is 4.

Step 4: Perform the addition: $-3 + \frac{51}{4} = \frac{-3 \times 4 + 51}{4} = \frac{39}{4}$

Therefore, $-3 + 12 \frac{3}{4} = \frac{39}{4}$.