alice thinks of a number 1/4 of alice  number is 10 work out 2/5 of alices number

Let Alice's number be denoted as \( x \).

From the problem, we know that:
\[
\frac{1}{4} \times x = 10
\]

To find \( x \), multiply both sides of the equation by 4:
\[
x = 10 \times 4 = 40
\]

Now, to find \( \frac{2}{5} \) of Alice's number:
\[
\frac{2}{5} \times 40 = \frac{2 \times 40}{5} = \frac{80}{5} = 16
\]

Therefore, \( \frac{2}{5} \) of Alice's number is 16.

Would you like a detailed explanation of any step? Here are some related questions to practice:

1. What is \( \frac{3}{4} \) of Alice's number?
2. If \( \frac{1}{3} \) of Alice's number is 15, what is Alice's number?
3. If Alice’s number increases by 20%, what is the new value of her number?
4. What would be \( \frac{5}{6} \) of Alice’s number if \( \frac{1}{6} \) of it is 8?
5. If Alice’s number is reduced by 25%, what is the result?

**Tip**: When solving fraction problems, always remember to multiply both sides of the equation by the reciprocal of the given fraction to find the original number.

Alice thinks of a number. 1/4 of Alice's number is 10. Work out 2/5 of Alice's number.

Learn how to solve a fraction-based problem where 1/4 of a number is given as 10, and find 2/5 of the number. This step-by-step solution explores basic algebra and multiplication of fractions. Suitable for Grades 6-8 students.

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