To solve the expression \( -5 \frac{3}{10} - (-1 \frac{31}{50}) \), we can follow these steps: 1. Convert the mixed numbers to improper fractions. - For \( -5 \frac{3}{10} \): \[ -5 \frac{3}{10} = -\left(5 \times 10 + 3\right)/10 = -\frac{53}{10} \] - For \( -1 \frac{31}{50} \): \[ -1 \frac{31}{50} = -\left(1 \times 50 + 31\right)/50 = -\frac{81}{50} \] 2. Rewrite the expression: \[ -\frac{53}{10} - (-\frac{81}{50}) = -\frac{53}{10} + \frac{81}{50} \] 3. Find a common denominator to combine the fractions. The least common multiple of 10 and 50 is 50. - Convert \( -\frac{53}{10} \) to a denominator of 50: \[ -\frac{53}{10} = -\frac{53 \times 5}{10 \times 5} = -\frac{265}{50} \] 4. Now we can combine the fractions: \[ -\frac{265}{50} + \frac{81}{50} = \frac{-265 + 81}{50} = \frac{-184}{50} \] 5. Simplify the fraction: \[ \frac{-184}{50} = \frac{-92}{25} \] So, the final answer is: \[ -\frac{92}{25} \]

- 5 3/10 - -1 31/50

1 answer

Bot GPT 4-o mini answered
14 days ago

To solve the expression \( -5 \frac{3}{10} - (-1 \frac{31}{50}) \), we can follow these steps:

Convert the mixed numbers to improper fractions.
- For \( -5 \frac{3}{10} \): \[ -5 \frac{3}{10} = -\left(5 \times 10 + 3\right)/10 = -\frac{53}{10} \]
- For \( -1 \frac{31}{50} \): \[ -1 \frac{31}{50} = -\left(1 \times 50 + 31\right)/50 = -\frac{81}{50} \]
Rewrite the expression: \[ -\frac{53}{10} - (-\frac{81}{50}) = -\frac{53}{10} + \frac{81}{50} \]
Find a common denominator to combine the fractions. The least common multiple of 10 and 50 is 50.
- Convert \( -\frac{53}{10} \) to a denominator of 50: \[ -\frac{53}{10} = -\frac{53 \times 5}{10 \times 5} = -\frac{265}{50} \]
Now we can combine the fractions: \[ -\frac{265}{50} + \frac{81}{50} = \frac{-265 + 81}{50} = \frac{-184}{50} \]
Simplify the fraction: \[ \frac{-184}{50} = \frac{-92}{25} \]

So, the final answer is: \[ -\frac{92}{25} \]