Question

6\frac{1}{15} =

• 3\frac{2}{3} =

Explanation:

Step1: Convert mixed numbers to improper fractions

For \(6\frac{1}{15}\), the improper fraction is \(\frac{6\times15 + 1}{15}=\frac{90+1}{15}=\frac{91}{15}\).
For \(3\frac{2}{3}\), the improper fraction is \(\frac{3\times3 + 2}{3}=\frac{9 + 2}{3}=\frac{11}{3}\). We need a common denominator with \(\frac{91}{15}\), so \(\frac{11}{3}=\frac{11\times5}{3\times5}=\frac{55}{15}\).

Step2: Subtract the fractions

Now we subtract: \(\frac{91}{15}-\frac{55}{15}=\frac{91 - 55}{15}=\frac{36}{15}\).

Step3: Simplify the result

Simplify \(\frac{36}{15}\) by dividing numerator and denominator by 3: \(\frac{36\div3}{15\div3}=\frac{12}{5}\), which is \(2\frac{2}{5}\) as a mixed number.

Answer:

\(2\frac{2}{5}\) (or \(\frac{12}{5}\))