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JulsSmile [24]
4 years ago
6

Ailing spent 3/8 of his time studying science he spent 2/5 as much time studying English as science what fraction of aikong stud

y time was spent studying english
Mathematics
1 answer:
Snezhnost [94]4 years ago
3 0

Answer:

\frac{3}{20} of aikong study time was spent studying english

Step-by-step explanation:

Given:

Time spent by ailing in studying science= 3/8

Time spent by ailing in studying English= 2/5 as much time studying English

To Find:

Ailing study time was spent studying English=?

Solution:

Let the time spent by Ailing in studying English be X

Then  

We know that ailing spent  2/5 as much time studying English to  study English

So  ,

X= \frac{2}{5} \times \text{time taken to study science}

X=\frac{2}{5} \times \frac{3}{8}

X=\frac{6}{40}

X=\frac{3}{20}

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Answer:

\large\boxed{\dfrac{\boxed{8}}{81}}

Step-by-step explanation:

\text{If}\ a_1,\ a_2,\ a_3,\ a_4,\ ...,\ a_n\ \text{is the geometric sequence, then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=constant=r-\text{common ration}.\\\\\text{We have}\ \dfrac{1}{2},\ \dfrac{1}{3},\ \dfrac{2}{9},\ \dfrac{4}{27},\ ...\\\\\dfrac{\frac{1}{3}}{\frac{1}{2}}=\dfrac{1}{3}\cdot\dfrac{2}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{2}{9}}{\frac{1}{3}}=\dfrac{2}{9}\cdot\dfrac{3}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{4}{27}}{\frac{2}{9}}=\dfrac{4}{27}\cdot\dfrac{9}{2}=\dfrac{2}{3}

\bold{CORRECT}\\\\\dfrac{x}{\frac{4}{27}}=\dfrac{2}{3}\qquad\text{multiply both sides by}\ \dfrac{4}{27}\\\\x=\dfrac{2}{3}\cdot\dfrac{4}{27}\\\\x=\dfrac{8}{81}

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