70 2/5+30 3/10

asked by guest
on Nov 23, 2024 at 8:48 am



You asked:

Evaluate the expression: \(70\frac{2}{5} + 30\frac{3}{10}\)

MathBot Answer:

\[ 70\frac{2}{5} + 30\frac{3}{10} = \frac{1007}{10} = 100.7 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{70}{1}\), \(\frac{2}{5}\), \(\frac{30}{1}\), and \(\frac{3}{10}\) is \(10\). \[ \begin{aligned} 70\frac{2}{5} + 30\frac{3}{10} &= \frac{70 \cdot 10}{1 \cdot 10} + \frac{2 \cdot 2}{5 \cdot 2} + \frac{30 \cdot 10}{1 \cdot 10} + \frac{3 \cdot 1}{10 \cdot 1} \\ &= \frac{700 + 4 + 300 + 3}{10} \\ &= \frac{1007}{10} \end{aligned} \]