what’s the difference between 1 3/4 and 2 2/4

Answer 1

To find the difference between \(1 \frac{3}{4}\) and \(2 \frac{2}{4}\), we can first convert the mixed numbers into improper fractions:

1. Convert \(1 \frac{3}{4}\): \[ 1 \frac{3}{4} = \frac{4 \cdot 1 + 3}{4} = \frac{4 + 3}{4} = \frac{7}{4} \]

2. Convert \(2 \frac{2}{4}\): \[ 2 \frac{2}{4} = \frac{4 \cdot 2 + 2}{4} = \frac{8 + 2}{4} = \frac{10}{4} = \frac{5}{2} \]

Now we can find the difference: \[ \frac{7}{4} - \frac{5}{2} \]

To subtract these fractions, we need a common denominator. The least common multiple of 4 and 2 is 4. We can rewrite \(\frac{5}{2}\) with a denominator of 4: \[ \frac{5}{2} = \frac{5 \cdot 2}{2 \cdot 2} = \frac{10}{4} \]

Now we can perform the subtraction: \[ \frac{7}{4} - \frac{10}{4} = \frac{7 - 10}{4} = \frac{-3}{4} \]

Thus, the difference between \(1 \frac{3}{4}\) and \(2 \frac{2}{4}\) is \(-\frac{3}{4}\).