Question

Virgil has 1/6 of a birthday cake left over. He wants to share the leftover cake with 3 friends. What fraction of the original cake will each of the 4 people receive?

Answer 1

Each of the 4 people will receive a fraction $\frac{1}{24}$.

• Initial left over of a cake = $\frac{1}{6}$
• Number of person to share the cake = 4

Further Explanation

To determine what fraction each person would have to complete the following steps:

Step 1:

We will divide the initial left over of the cake ($\frac{1}{6}$) by the number of person to share the cake (4) i.e. $\frac{1}{6}$ ÷ 4

Step 2:

Since we are dividing a fraction ($\frac{1}{6}$) by a whole number (4), we would need to convert the whole number to a fraction. Hence, 4 becomes $\frac{4}{1}$

Therefore, we have $\frac{1}{6}$ ÷ $\frac{4}{1}$

Step 3:

To derive final answer it is important we convert the division sign (÷) to multiplication (x), and also exchange the places of the numerator and denominator of the second fraction ($\frac{4}{1}$) i.e. (÷) become (x); ($\frac{4}{1}$) becomes ($\frac{1}{4}$).

Therefore we have $\frac{1}{6}$ x $\frac{1}{4}$

Step 4:

We multiply the numerators of both fractions together, and also do the same to the denominators.

Therefore we have (1 x 1) / (6 x 4) = $\frac{1}{24}$

Step 1 to 4 joined together:

= $\frac{1}{6}$ ÷ 4

= $\frac{1}{6}$ ÷ $\frac{4}{1}$

= $\frac{1}{6}$ x $\frac{1}{4}$

= (1 x 1) / (6 x 4)

= (1) / (24)

= $\frac{1}{24}$

LEARN MORE:

• Lucia is making a 21.6 centimeter beaded string to hang in the window brainly.com/question/1095636
• Virgil has 1/6 of a birthday cake left over. He wants to share the leftover cake with 3 friends brainly.com/question/2850008

KEYWORDS:

• 1/6 of a birthday cake
• 3 friends
• fraction
• multiplication
• addition

Answer 2

Virgil has 1/6 of the original cake, which he wants to divide into 4 parts. Thus:
1/6 / 4
= 1/6 x 1/4
= 1/24

Each person will receive 1/24 of the original cake.