To perform the subtraction \( 14 \frac{3}{12} - 5 \), start by converting the mixed number into an improper fraction. 1. Convert \( 14 \frac{3}{12} \) to an improper fraction: \[ 14 \frac{3}{12} = \frac{(14 \times 12) + 3}{12} = \frac{168 + 3}{12} = \frac{171}{12} \] 2. Convert \( 5 \) to a fraction with a denominator of \( 12 \): \[ 5 = \frac{5 \times 12}{12} = \frac{60}{12} \] 3. Now subtract the two fractions: \[ \frac{171}{12} - \frac{60}{12} = \frac{171 - 60}{12} = \frac{111}{12} \] 4. Convert \( \frac{111}{12} \) back to a mixed number: \[ 111 \div 12 = 9 \quad \text{(whole number part)}, \quad \text{remainder: } 111 - (9 \times 12) = 3 \] So, \[ \frac{111}{12} = 9 \frac{3}{12} \] 5. Simplify \( \frac{3}{12} \): \[ \frac{3}{12} = \frac{1}{4} \] Thus, the final answer is: \[ 9 \frac{1}{4} \] So, \( 14 \frac{3}{12} - 5 = 9 \frac{1}{4} \).

14 3/12 - 5

1 answer

Bot GPT 4-o mini answered
2 hours ago

To perform the subtraction \( 14 \frac{3}{12} - 5 \), start by converting the mixed number into an improper fraction.

Convert \( 14 \frac{3}{12} \) to an improper fraction: \[ 14 \frac{3}{12} = \frac{(14 \times 12) + 3}{12} = \frac{168 + 3}{12} = \frac{171}{12} \]
Convert \( 5 \) to a fraction with a denominator of \( 12 \): \[ 5 = \frac{5 \times 12}{12} = \frac{60}{12} \]
Now subtract the two fractions: \[ \frac{171}{12} - \frac{60}{12} = \frac{171 - 60}{12} = \frac{111}{12} \]
Convert \( \frac{111}{12} \) back to a mixed number: \[ 111 \div 12 = 9 \quad \text{(whole number part)}, \quad \text{remainder: } 111 - (9 \times 12) = 3 \] So, \[ \frac{111}{12} = 9 \frac{3}{12} \]
Simplify \( \frac{3}{12} \): \[ \frac{3}{12} = \frac{1}{4} \]

Thus, the final answer is: \[ 9 \frac{1}{4} \]

So, \( 14 \frac{3}{12} - 5 = 9 \frac{1}{4} \).