Q. \dfrac{2}{5} \times 4 \text{ as a fraction}

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

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

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

Divide: 8\div5=1 remainder 3, so \tfrac{8}{5}=1\tfrac{3}{5} .

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

Yes. Multiplication is commutative: \tfrac{2}{5}\times4=4\times\tfrac{2}{5}=\tfrac{8}{5} .

Q: How can I visualize \tfrac{2}{5}\times4 ?

Split 4 into 5 equal parts; each part is \tfrac{4}{5} . Take 2 parts: 2\times\tfrac{4}{5}=\tfrac{8}{5} (equals 1\tfrac{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 \( \tfrac{2}{5} \times 4 \) as a fraction?

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

Can I simplify before multiplying?

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

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

Divide: \(8\div5=1\) remainder 3, so \( \tfrac{8}{5}=1\tfrac{3}{5} \).

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

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

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

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

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

Yes. In fraction problems, "of" means multiplication, so "2/5 of 4" equals \( \tfrac{2}{5}\times4 \).

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

Yes. Multiplication is commutative: \( \tfrac{2}{5}\times4=4\times\tfrac{2}{5}=\tfrac{8}{5} \).

How can I visualize \( \tfrac{2}{5}\times4 \)?

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

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