Tag: converting decimals to fractions and vice-versa

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Questions Related to converting decimals to fractions and vice-versa

Multiple choice converting decimals to fractions and vice-versa decimal to fraction addition, subtraction and multiplication of fractions decimal fractions maths

$\displaystyle \frac{0.25}{0.4}$ is equal to

  1. $\displaystyle \frac{5}{8}$
  2. $\displaystyle \frac{25}{40}$
  3. $\displaystyle \frac{16}{19}$

  4. None of the above
Reveal answer Fill a bubble to check yourself
A,B Correct answer
Explanation
$\dfrac {0.25}{0.4}$ = $\dfrac{\dfrac {25}{100}}{ \dfrac {4}{10}}$

$= \displaystyle \frac{25\times 10}{4 \times 100} = \frac{25}{40}$

So. options A and B are correct.
Multiple choice converting decimals to fractions and vice-versa decimal to fraction addition, subtraction and multiplication of fractions decimal fractions maths

In the number $0.257$, which of the following does the digit $7$ represent?

  1. $\displaystyle 7\times\frac{1}{10}$
  2. $\displaystyle 7\times\frac{1}{100}$
  3. $\displaystyle 7\times\frac{1}{1000}$
  4. $\displaystyle 7\times\frac{1}{10000}$
  5. $\displaystyle 7\times\frac{1}{100000}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The number $0.257$ can be represented as $0.2 + 0.05 + 0.007$.

Therefore we can see that digit $7$ represents $0.007 = 7\times \dfrac { 1 }{ 1000 } $.

Multiple choice converting decimals to fractions and vice-versa decimal to fraction addition, subtraction and multiplication of fractions decimal fractions maths

$\dfrac {p}{q}$ form of $0.0875$ is _______

  1. $\dfrac {7}{2^{4}\times 5}$
  2. $\dfrac {7}{2\times 5^{4}}$
  3. $\dfrac {7}{2^{4}\times 5^{4}}$
  4. $\dfrac {5^{3}\times 7}{2^{3}\times 5^{4}}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Since, $0.0875=\displaystyle \frac {875}{10000}=\frac {175}{2000}=\frac{35}{400} =\frac {7}{80}=\frac 7{16\times 5}=\frac 7{2^4\times 5}$

Option $A$ is correct.