(iv) Rayansh Celebrated His Birthday By Bringing A Cake To An Orphanage. He Gave 1/16 Portion Of Cake To The Manager, 1/24 Portion To The Staff And Distributed The Rest Among The Children Of The Orphanage. Find The Amount Of Cake He Gave To The Children.

Mar 9, 2025 by ADMIN 256 views

Math Problem Solving: Finding the Amount of Cake Given to Children at an Orphanage

In this article, we will delve into a math problem that involves fractions and division. The problem revolves around Rayansh, who celebrates his birthday by bringing a cake to an orphanage. He decides to give a portion of the cake to the manager and staff, and the rest is distributed among the children. Our goal is to find the amount of cake that Rayansh gave to the children.

Let's break down the problem step by step. Rayansh brings a cake to the orphanage and gives 1/16 portion to the manager and 1/24 portion to the staff. The remaining portion of the cake is distributed among the children. To find the amount of cake given to the children, we need to first find the total portion of the cake that is given to the manager and staff.

Calculating the Total Portion Given to the Manager and Staff

To find the total portion given to the manager and staff, we need to add the fractions 1/16 and 1/24. However, before we can add these fractions, we need to find a common denominator. The least common multiple (LCM) of 16 and 24 is 48.

1/16 = (1 x 3) / (16 x 3) = 3/48
1/24 = (1 x 2) / (24 x 2) = 2/48

Now that we have a common denominator, we can add the fractions:

3/48 + 2/48 = 5/48

So, the total portion of the cake given to the manager and staff is 5/48.

Finding the Portion Given to the Children

Since the total portion of the cake is 1, we can subtract the portion given to the manager and staff from 1 to find the portion given to the children:

1 - 5/48 = (48 - 5) / 48 = 43/48

Therefore, the portion of the cake given to the children is 43/48.

Converting the Fraction to a Decimal

To make it easier to understand, let's convert the fraction 43/48 to a decimal:

43/48 ≈ 0.896

So, the portion of the cake given to the children is approximately 0.896 or 89.6%.

In this article, we solved a math problem that involved fractions and division. We found that Rayansh gave 43/48 or approximately 89.6% of the cake to the children at the orphanage. This problem required us to add fractions with different denominators and subtract a fraction from 1 to find the portion given to the children. By following these steps, we were able to solve the problem and find the answer.

This problem may seem simple, but it has real-world applications in various fields such as:

Cooking: When baking a cake, you may need to divide it into portions for different people. This problem can help you calculate the amount of cake each person will receive.
Business: In a business setting, you may need to divide a resource or asset among different departments or employees. This problem can help you calculate the amount of resource each department or employee will receive.
Science: In scientific experiments, you may need to divide a sample or resource among different groups or individuals. This problem can help you calculate the amount of sample each group or individual will receive.

Here are some tips and tricks to help you solve problems like this:

Use a common denominator: When adding or subtracting fractions, make sure to use a common denominator to avoid confusion.
Simplify fractions: Simplify fractions by dividing both the numerator and denominator by their greatest common divisor (GCD).
Convert fractions to decimals: Converting fractions to decimals can make it easier to understand and work with fractions.
Practice, practice, practice: The more you practice solving math problems, the more comfortable you will become with fractions and division.
Math Problem Solving: Q&A on Finding the Amount of Cake Given to Children at an Orphanage

In our previous article, we solved a math problem that involved fractions and division. The problem revolved around Rayansh, who celebrates his birthday by bringing a cake to an orphanage. He decides to give a portion of the cake to the manager and staff, and the rest is distributed among the children. Our goal was to find the amount of cake that Rayansh gave to the children.

Here are some frequently asked questions (FAQs) related to the problem:

Q: What is the total portion of the cake given to the manager and staff?

A: The total portion of the cake given to the manager and staff is 5/48.

Q: How do we find the portion given to the children?

A: To find the portion given to the children, we subtract the portion given to the manager and staff from 1. This can be represented as:

1 - 5/48 = (48 - 5) / 48 = 43/48

Q: What is the decimal equivalent of the portion given to the children?

A: The decimal equivalent of the portion given to the children is approximately 0.896 or 89.6%.

Q: Why do we need to find a common denominator when adding fractions?

A: We need to find a common denominator when adding fractions because it allows us to combine the fractions into a single fraction. In this case, the least common multiple (LCM) of 16 and 24 is 48, which becomes the common denominator.

Q: Can we simplify the fraction 43/48?

A: Yes, we can simplify the fraction 43/48 by dividing both the numerator and denominator by their greatest common divisor (GCD). However, in this case, the GCD of 43 and 48 is 1, so the fraction 43/48 is already in its simplest form.

Q: How does this problem relate to real-world applications?

A: This problem has real-world applications in various fields such as cooking, business, and science. For example, in cooking, you may need to divide a cake into portions for different people. In business, you may need to divide a resource or asset among different departments or employees. In science, you may need to divide a sample or resource among different groups or individuals.

Q: What are some tips and tricks for solving problems like this?

A: Here are some tips and tricks for solving problems like this:

Use a common denominator: When adding or subtracting fractions, make sure to use a common denominator to avoid confusion.
Simplify fractions: Simplify fractions by dividing both the numerator and denominator by their greatest common divisor (GCD).
Convert fractions to decimals: Converting fractions to decimals can make it easier to understand and work with fractions.
Practice, practice, practice: The more you practice solving math problems, the more comfortable you will become with fractions and division.

In this article, we answered some frequently asked questions related to the problem of finding the amount of cake given to children at an orphanage. We covered topics such as finding a common denominator, simplifying fractions, and converting fractions to decimals. We also discussed real-world applications of this problem and provided some tips and tricks for solving problems like this.