4/3+5/7

asked by guest
on Dec 27, 2024 at 3:09 am



You asked:

Evaluate the expression: \(\frac{4}{3} + \frac{5}{7}\)

MathBot Answer:

\[ \frac{4}{3} + \frac{5}{7} = \frac{43}{21} = 2.\overline{047619} \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{3}\) and \(\frac{5}{7}\) is \(21\). \[ \begin{aligned} \frac{4}{3} + \frac{5}{7} &= \frac{4 \cdot 7}{3 \cdot 7} + \frac{5 \cdot 3}{7 \cdot 3} \\ &= \frac{28 + 15}{21} \\ &= \frac{43}{21} \end{aligned} \]