Are all fractions considered rational numbers?

Once upon a time, in the quiet area of Burari, I met a brilliant math tutor named Mani Mittal famous as Top 10 Maths tutor in Burari. She is renowned for her ability to make mathematics come alive for her students. At the same time, a class 9 student named Raj came to her with a puzzling question.

"Good morning, Mani ma'am," said Raj. "I'm learning about numbers in school, and I've come across something called 'rational numbers'. Can you please help me understand what they are or what is "Rational Numbers?"

Mani Mittal best tutor in Himgiri Enclave Burari smiled warmly and gestured for Raj to be seated. "Of course, Raj," she replied. "Rational numbers are fascinating, and I have just a story to explain them to you. Imagine yourself in the living world of mathematics."

Raj's eyes gleamed with curiosity and he sat down to listen attentively.

"Imagine a bustling market place," began Mrs. Mani Mittal best tutor in Burari. "In this market, different vendors were selling different types of fruits. There was a fruit vendor named Ravi, who had a cart full of juicy, ripe mangoes."

“Now, Ravi noticed that sometimes he could not sell the entire cart of mangoes at one go. So he started selling mangoes in smaller quantities to customers who wanted only a few mangoes.”

Raj nodded following the story.

“One day,” Mani Mittal a best tutor near Burari Thana continued, “a customer named Priya came to Ravi's cart. She wanted to buy 3 mangoes. Ravi, being a shrewd businessman, immediately calculated the cost of each mango and Told a fair price. Priya happily paid the bid amount and went away with her mangoes."

"Another customer named Rahul came and wanted to buy 5 mangoes. Once again, Ravi efficiently calculated the cost per mango and gave the total price to Rahul."

Raj got curious. "So Mani Ma’am, are you saying that the price of each mango represents a rational number?"

"Exactly, Raj!" shouted Mani Mittal. "In this scenario, the cost per mango can be represented as a rational number. A rational number is any number that can be expressed as a fraction, where both the numerator and the denominator are integers."

She continued, "In our story, the cost per mango can be expressed as a fraction, such as 3/1 or 5/1. These fractions represent rational numbers because they are the ratio of two whole numbers." Are."

Raj's face lit up with understanding. "So, a rational number is like a fraction that can be written as the ratio of two integers?"

"Exactly, Raj!" Mani Mittal smiled and said. "Rational numbers are a fundamental concept in mathematics. They include fractions, whole numbers, and even integers. They can be positive, negative, or zero.

In our mango story, if Ravi makes a profit, the cost per mango may be positive, negative if he sells them at a loss, or zero if he sells them at cost price."

Raj thanked Mani Mittal for the engaging story and the new clarity. As soon as he left the tuition session, he could not help but appreciate how mathematics came alive through stories and examples. With a new understanding of rational numbers, Raj felt ready to tackle the exciting world of mathematics with confidence.