All questions of Fractions Made Easy for Class 1 Exam

A proper fraction is one where the numerator is less than the denominator. In option D, 1 is less than 4.

What is a fraction?

A fraction is a numerical quantity that represents a part or a division of a whole. It is a way to express numbers that are not whole numbers or integers. Fractions consist of two parts: a numerator and a denominator. The numerator represents the number of parts we have, while the denominator represents the total number of equal parts that make up a whole.

Understanding fractions in detail:

Numerator:
- The numerator is the top part of a fraction.
- It represents the number of parts we have or the quantity being considered.
- For example, in the fraction 3/4, the numerator is 3, which means there are 3 parts or items.

Denominator:
- The denominator is the bottom part of a fraction.
- It represents the total number of equal parts that make up a whole.
- For example, in the fraction 3/4, the denominator is 4, which means there are 4 equal parts making up the whole.

Visual representation:
- Fractions can be represented visually using shapes or objects.
- For example, a circle can be divided into equal parts, and each part can represent a fraction.
- If we shade 3 out of 4 parts of the circle, it represents the fraction 3/4.

Types of fractions:
- Proper fraction: In a proper fraction, the numerator is smaller than the denominator. For example, 2/5.
- Improper fraction: In an improper fraction, the numerator is equal to or larger than the denominator. For example, 7/4.
- Mixed number: A mixed number consists of a whole number and a proper fraction. For example, 1 1/2.

Operations with fractions:
- Fractions can be added, subtracted, multiplied, and divided.
- To add or subtract fractions, the denominators need to be the same. If they are not, we need to find a common denominator.
- To multiply fractions, we multiply the numerators together and the denominators together.
- To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

Conclusion:
In conclusion, a fraction is a numerical quantity that is not a whole number or an integer. It represents a part or a division of a whole. Fractions consist of a numerator and a denominator, and they can be properly or improperly written. Understanding fractions is important for various mathematical operations and real-life situations involving parts of a whole.

Question Analysis:
We are given the fraction 2/5 and we need to multiply it by its reciprocal. We need to determine the result of this multiplication.

Reciprocal of a Fraction:
The reciprocal of a fraction is obtained by interchanging the numerator and the denominator of the fraction. For example, the reciprocal of 3/4 is 4/3.

Solution:
To find the reciprocal of 2/5, we interchange the numerator and denominator. The reciprocal of 2/5 is 5/2.

Now, we need to multiply 2/5 by its reciprocal, which is 5/2.

Multiplication of Fractions:
When multiplying fractions, we multiply the numerators together and the denominators together. The product is the result of the multiplication.

In this case, we multiply 2/5 by 5/2:
(2/5) * (5/2)

Numerator:
Multiplying the numerators, we get:
2 * 5 = 10

Denominator:
Multiplying the denominators, we get:
5 * 2 = 10

Product:
Therefore, the result of the multiplication is 10/10.

Simplifying the Fraction:
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 10 in this case.

Dividing the numerator and denominator by 10, we get:
10/10 = 1

Thus, when we multiply 2/5 by its reciprocal, the result is 1.

Answer:
Therefore, the correct answer is option B) 1.

To convert a fraction to a decimal, you divide the numerator (the top number) by the denominator (the bottom number). In this case, we need to convert 3/8 to a decimal.

- Method 1: Long Division
Using long division, we divide 3 by 8:
```
0.375
__________
8 | 3.000
-2.4
-----
6
0
```
The division stops when we reach a quotient of zero or when we obtain the desired level of accuracy. In this case, we obtained a quotient of zero, so the decimal representation of 3/8 is 0.375.

- Method 2: Calculator
If you have access to a calculator, you can simply divide 3 by 8 to get the decimal representation:
```
3 ÷ 8 = 0.375
```
So again, the decimal representation of 3/8 is 0.375.

Therefore, the correct answer is option A) 0.375.

To subtract fractions, find a common denominator. Here, the common denominator is 6. Subtracting 1/6 from 1/2 gives 1/3.

Dividing 3/4 by 1/2:
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.

Step 1: Find the reciprocal of 1/2
Reciprocal of 1/2 = 2/1 = 2

Step 2: Multiply the fractions
3/4 ÷ 1/2 = 3/4 x 2/1 = 6/4

Simplify the result:
6/4 = 3/2
Therefore, when you divide 3/4 by 1/2, the result is 3/2.

Reciprocal is a mathematical concept that refers to the multiplicative inverse of a number. In other words, the reciprocal of a fraction is obtained by interchanging the numerator and the denominator.

To find the reciprocal of 7/8, we need to interchange the numerator and the denominator.

Let's break down the steps to find the reciprocal:

Step 1: Identify the given fraction
The given fraction is 7/8.

Step 2: Interchange the numerator and denominator
To find the reciprocal, we need to interchange the numerator (7) and the denominator (8).

Step 3: Write the reciprocal
The reciprocal of 7/8 can be written as 8/7.

Therefore, the correct answer is option 'A' which is 8/7.

Let's summarize the steps:

Step 1: Given fraction: 7/8
Step 2: Interchange the numerator and denominator: 8/7
Step 3: Reciprocal: 8/7

So, the reciprocal of 7/8 is 8/7.

To add fractions, find a common denominator and add the numerators. 2/3 + 1/4 = 8/12 + 3/12 = 11/12 = 5/6.