Question

(5 1/4-2 3/8)+ 4 5/12

Answer 1

Ответ:

(5 1/4-2 3/8)+ 4 5/12 = 7

Answer 2

To solve this arithmetic expression, let's follow these steps:

Step 1: Convert the mixed numbers to improper fractions.

• $5 \frac{1}{4}$ as an improper fraction is $5 + \frac{1}{4} = \frac{20}{4} + \frac{1}{4} = \frac{21}{4}$.
• $2 \frac{3}{8}$ as an improper fraction is $2 + \frac{3}{8} = \frac{16}{8} + \frac{3}{8} = \frac{19}{8}$.
• $4 \frac{5}{12}$ as an improper fraction is $4 + \frac{5}{12} = \frac{48}{12} + \frac{5}{12} = \frac{53}{12}$.

Step 2: Perform the subtraction of the first two fractions. $\frac{21}{4} - \frac{19}{8}$:

To subtract fractions with different denominators, you need to find a common denominator. In this case, the common denominator is $4 \times 8 = 32$.

$\frac{21}{4} - \frac{19}{8} = \frac{21 \times 8}{4 \times 8} - \frac{19 \times 4}{8 \times 4} = \frac{168}{32} - \frac{76}{32} = \frac{92}{32}$.

Step 3: Add the result from step 2 to the third fraction. $\frac{92}{32} + \frac{53}{12}$:

To add fractions with different denominators, you again need to find a common denominator. In this case, the common denominator is $32 \times 12 = 384$.

$\frac{92}{32} + \frac{53}{12} = \frac{92 \times 12}{32 \times 12} + \frac{53 \times 32}{12 \times 32} = \frac{1104}{384} + \frac{1696}{384} = \frac{2800}{384}$.

Step 4: Simplify the fraction if possible. $\frac{2800}{384} = \frac{700}{96}$.

The simplified fraction is $\frac{700}{96}$.