10,5 ÷ 7 = 5 1/4 ÷ 3 1/2

Let’s solve both sides of the equation to check if they are equal.

1. Left Side: \(10.5 \div 7\) \[ 10.5 \div 7 = 1.5 \]

2. Right Side: \(5 \frac{1}{4} \div 3 \frac{1}{2}\) First, convert the mixed numbers to improper fractions:

   • \(5 \frac{1}{4} = \frac{5 \times 4 + 1}{4} = \frac{21}{4}\)
   • \(3 \frac{1}{2} = \frac{3 \times 2 + 1}{2} = \frac{7}{2}\)

   Now, divide: \[ \frac{21}{4} \div \frac{7}{2} = \frac{21}{4} \times \frac{2}{7} = \frac{21 \times 2}{4 \times 7} = \frac{42}{28} = \frac{3}{2} = 1.5 \]

Both sides simplify to \(1.5\).

Thus, the equation \(10.5 \div 7 = 5 \frac{1}{4} \div 3 \frac{1}{2}\) is true.