5/21 of 45/3 + (- 1/15) / 3 / 7

asked by guest
on Mar 29, 2025 at 5:13 am



You asked:

Evaluate the expression: 521(453+−11537)\frac{5}{21} \left(\frac{45}{3} + \frac{\frac{\frac{-1}{15}}{3}}{7}\right)

MathBot Answer:

521(453+−11537)=47241323=3.570672713529856386999244142101284958427815‾\frac{5}{21} \left(\frac{45}{3} + \frac{\frac{\frac{-1}{15}}{3}}{7}\right) = \frac{4724}{1323} = 3.\overline{570672713529856386999244142101284958427815}

521(453+−11537)=521(15+−11537)=521(15+−1457)=521(15+−1315)=521⋅4724315=47241323\begin{aligned}\frac{5}{21} \left(\frac{45}{3} + \frac{\frac{\frac{-1}{15}}{3}}{7}\right)&=\frac{5}{21} \left(15 + \frac{\frac{\frac{-1}{15}}{3}}{7}\right)\\&=\frac{5}{21} \left(15 + \frac{\frac{-1}{45}}{7}\right)\\&=\frac{5}{21} \left(15 + \frac{-1}{315}\right)\\&=\frac{5}{21} \cdot \frac{4724}{315}\\&=\frac{4724}{1323}\end{aligned}

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