muliply 5/3 by the reciprocally-1527
Answers
Answer:
The percentage error in the calculation is 64%.
Step-by-step explanation:
Since we have given that
A student was asked to multiply a number by 5/3.he multiple it by 3/5 instead.
Let the number be 'x'.
According to question, we get that
\begin{lgathered}\dfrac{5}{3}x-\dfrac{3}{5}x\\\\=\dfrac{25x-9x}{15}\\\\=\dfrac{16x}{15}\end{lgathered}
3
5
x−
5
3
x
=
15
25x−9x
=
15
16x
So, the percentage error would be
\begin{lgathered}\dfrac{16x\times 3}{15\times 5x}\times 100\\\\=\dfrac{16}{25}\times 100\\\\=16\times 4\\\\=64\%\end{lgathered}
15×5x
16x×3
×100
=
25
16
×100
=16×4
=64%
Hence, the percentage error in the calculation is 64%.
# learn more:
A student was asked to multiply a number by 5/3. He multiplied it by 3/5 instead. Find the percentage error in the calculation