Question

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

Explanation:

Step1: Find a common denominator

To add \(\frac{2}{7}\) and \(\frac{4}{5}\), we need a common denominator. The least common denominator of 7 and 5 is \(7\times5 = 35\).
Rewrite each fraction with the common denominator:
\(\frac{2}{7}=\frac{2\times5}{7\times5}=\frac{10}{35}\)
\(\frac{4}{5}=\frac{4\times7}{5\times7}=\frac{28}{35}\)

Step2: Add the fractions

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

Step3: Convert to a mixed number

To convert the improper fraction \(\frac{38}{35}\) to a mixed number, divide the numerator by the denominator:
\(38\div35 = 1\) with a remainder of \(3\) (since \(35\times1=35\) and \(38 - 35 = 3\)).
So, \(\frac{38}{35}=1\frac{3}{35}\)

Answer:

The whole number is \(1\)