Simplify 4/21 of 7 + 494/495 * 99

asked by guest
on Jan 29, 2025 at 1:52 am



You asked:

Simplify the expression: 421(7+49449599)\frac{4}{21} \left(7 + \frac{494}{495} \cdot 99\right)

MathBot Answer:

Simplified:

421(7+49449599)=2116105=20.1523809 \frac{4}{21} \left(7 + \frac{494}{495} \cdot 99\right) = \frac{2116}{105} = 20.1\overline{523809}


4(7+49499495)214(7+48906495)214(7+4945)2145295212116105\begin{aligned}\frac{4 \cdot \left(7 + \frac{494 \cdot 99}{495}\right)}{21}\\\frac{4 \cdot \left(7 + \frac{48906}{495}\right)}{21}\\\frac{4 \cdot \left(7 + \frac{494}{5}\right)}{21}\\\frac{4 \cdot \frac{529}{5}}{21}\\\frac{2116}{105}\end{aligned}


Expanded:

421(7+49449599)=2116105 \frac{4}{21} \left(7 + \frac{494}{495} \cdot 99\right) = \frac{2116}{105}