2/7 divided by 14/3

Guri Bee

less than a minute read

·

20-10-2024

1

0

Share

Dividing Fractions: A Step-by-Step Guide with 2/7 ÷ 14/3

Dividing fractions can seem daunting, but it's actually a straightforward process with a handy trick. Let's break down how to solve 2/7 ÷ 14/3 using a method commonly found in this GitHub discussion:

Understanding the Basics:

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is simply flipping it over – the numerator becomes the denominator, and vice versa.

Step-by-Step Solution:

1. Find the reciprocal of the second fraction (the divisor): The reciprocal of 14/3 is 3/14.
2. Change the division problem to multiplication: 2/7 ÷ 14/3 becomes 2/7 x 3/14.
3. Multiply the numerators and the denominators: (2 x 3) / (7 x 14) = 6/98.
4. Simplify the fraction (if possible): Both 6 and 98 are divisible by 2, resulting in 3/49.

Therefore, 2/7 ÷ 14/3 = 3/49.

Visualizing the Process:

Imagine you have a pizza cut into 7 slices. You have 2 of these slices (2/7 of the pizza). Now, you want to divide your slices into 14/3 smaller pieces. This means you're dividing your 2/7 of the pizza into 14/3 smaller portions.

By flipping the 14/3 and multiplying, we are essentially asking: how many of these smaller portions (3/14) fit into our initial 2/7 of the pizza?

Key Takeaways:

• Dividing by a fraction is the same as multiplying by its reciprocal.
• Always simplify the fraction to its lowest terms whenever possible.

Additional Examples:

• 3/4 ÷ 1/2: 3/4 x 2/1 = 6/4 = 3/2.
• 5/8 ÷ 2/3: 5/8 x 3/2 = 15/16.

Beyond the Basics:

Understanding fraction division is a fundamental skill in various fields, including:

• Cooking: Scaling recipes based on different ingredient quantities.
• Construction: Calculating material needs for projects based on specific proportions.
• Finance: Analyzing investment returns and understanding ratios.

By mastering this concept, you equip yourself with a valuable tool for tackling real-world problems and understanding mathematical relationships.