Q. \[ \frac{2}{5} \times 4 \] as a fraction.

Q: How do you compute \frac{2}{5} \times 4 as a fraction?

Convert 4 to \frac{4}{1} and multiply: \frac{2}{5} \times \frac{4}{1} = \frac{8}{5}. This is the final (improper) fraction.

Q: How do I write \frac{8}{5} as a mixed number?

Divide: 8 \div 5 = 1 remainder 3, so \frac{8}{5} = 1\frac{3}{5}.

Q: Can I change the order when multiplying a fraction and a whole number?

Yes. Multiplication is commutative: \frac{2}{5} \times 4 = 4 \times \frac{2}{5} = \frac{8}{5}.

Q: How can I visualize \frac{2}{5} \times 4?

Split 4 into 5 equal parts; each part is \frac{4}{5}. Take 2 parts: 2 \times \frac{4}{5} = \frac{8}{5} (equals 1\frac{3}{5}).

Answer

\( \frac{2}{5}\times 4 = \frac{2\times 4}{5} = \frac{8}{5} \)

Explanation: multiply the numerator by the whole number.

Detailed Explanation

Write the expression to evaluate: \( \dfrac{2}{5} \times 4 \).
Convert the whole number 4 to a fraction so you can multiply fractions. A whole number \(n\) equals \( \dfrac{n}{1} \). Thus, \(4 = \dfrac{4}{1}\). Now the product becomes \( \dfrac{2}{5} \times \dfrac{4}{1} \).
Multiply numerators together and denominators together. For fractions \( \dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{a \times c}{b \times d} \). Apply that rule:

\( \dfrac{2}{5} \times \dfrac{4}{1} = \dfrac{2 \times 4}{5 \times 1} = \dfrac{8}{5} \).
Check for simplification. The greatest common divisor of 8 and 5 is 1, so \( \dfrac{8}{5} \) is already in simplest form. Therefore the product as a fraction is

\( \dfrac{8}{5} \).
(Optional) If you want a mixed number: divide 8 by 5 to get 1 remainder 3, so \( \dfrac{8}{5} = 1 \dfrac{3}{5} \).

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FAQs

How do you compute \(\frac{2}{5} \times 4\) as a fraction?

Convert 4 to \(\frac{4}{1}\) and multiply: \(\frac{2}{5} \times \frac{4}{1} = \frac{8}{5}\). This is the final (improper) fraction.

Can I simplify before multiplying?

You can only cancel between a numerator and a denominator. Here \(\frac{2}{5} \times \frac{4}{1}\) has no such common factors, so multiply to get \(\frac{8}{5}\) (already simplified).

How do I write \(\frac{8}{5}\) as a mixed number?

Divide: \(8 \div 5 = 1\) remainder 3, so \(\frac{8}{5} = 1\frac{3}{5}\).

What is \(\frac{8}{5}\) as a decimal?

\(\frac{8}{5} = 1.6\).

What is \(\frac{2}{5}\) of 4 as a percent?

\(\frac{8}{5} = 1.6 = 160\%\).

Is "of" the same as "times" for fractions?

Can I change the order when multiplying a fraction and a whole number?

Yes. Multiplication is commutative: \(\frac{2}{5} \times 4 = 4 \times \frac{2}{5} = \frac{8}{5}\).

How can I visualize \(\frac{2}{5} \times 4\)?

Split 4 into 5 equal parts; each part is \(\frac{4}{5}\). Take 2 parts: \(2 \times \frac{4}{5} = \frac{8}{5}\) (equals \(1\frac{3}{5}\)).

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