Question

2/7 + 4/5
show your answer as a mixed number in simplest form.
1 3/?
enter the denominator.

Explanation:

Step1: Find a common denominator

To add \(\frac{2}{7}\) and \(\frac{4}{5}\), we need a common denominator. The least common multiple of 7 and 5 is \(7\times5 = 35\).

Step2: Rewrite the fractions

Rewrite \(\frac{2}{7}\) as \(\frac{2\times5}{7\times5}=\frac{10}{35}\) and \(\frac{4}{5}\) as \(\frac{4\times7}{5\times7}=\frac{28}{35}\).

Step3: Add the fractions

Now add the numerators: \(\frac{10}{35}+\frac{28}{35}=\frac{10 + 28}{35}=\frac{38}{35}\).

Step4: Convert to mixed number

Convert \(\frac{38}{35}\) to a mixed number: \(38\div35 = 1\) with a remainder of \(3\), so \(\frac{38}{35}=1\frac{3}{35}\).

Answer:

35