All questions of Fractions for Year 4 Exam

To compare fractions, we need to find a common denominator. In this case, we can use 31 as a common denominator since it is a multiple of all the denominators in the options.

Converting the fractions to have a denominator of 31:

a) 13/19 = 13/19 x 31/31 = 403/589
b) 25/31 = 25/31 x 31/31 = 775/961
c) 28/31 = 28/31 x 31/31 = 868/961
d) 70/79 = 70/79 x 31/31 = 2170/2469

Now we can see that:

- 403/589 < />
- 775/961 < />
- 868/961 > 2170/2469

Therefore, the largest fraction is 28/31 or option C.

2/3×63=21×2=42

To find the value of 9/4 of 36, we can follow these steps:

Step 1: Understanding the problem
The problem states that we need to find 9/4 of 36. This means we need to multiply 9/4 with 36 and find the result.

Step 2: Calculating 9/4
To calculate 9/4, we divide the numerator (9) by the denominator (4):
9 ÷ 4 = 2.25

Step 3: Multiplying 2.25 by 36
To find 9/4 of 36, we multiply 2.25 by 36:
2.25 × 36 = 81

Answer:
Therefore, 9/4 of 36 is equal to 81.
The correct answer is option 'B'.

In summary:
9/4 of 36 = 81

To solve the equation 12/13 of 26, we can follow these steps:

Step 1: Understanding the Problem
The problem is asking us to find the value of 12/13 of 26. In other words, it is asking for 12 parts out of 13 parts of 26.

Step 2: Calculating 12/13 of 26
To calculate 12/13 of 26, we can use the formula:

(12/13) x 26 = (12 x 26)/13 = 312/13

Step 3: Simplifying the Fraction
To simplify the fraction 312/13, we can divide the numerator (312) by the denominator (13):

312 ÷ 13 = 24

Therefore, 12/13 of 26 is equal to 24.

Conclusion
The correct answer is option A) 24.

Equivalent Fractions

Equivalent fractions are two or more fractions that name the same amount. In other words, they represent the same value or quantity, but may have different numerators and denominators. For example, 1/2 and 2/4 are equivalent fractions because they both represent the same amount, which is half or 0.5.

Understanding Equivalent Fractions

To understand equivalent fractions, it is important to know that the numerator represents the number of equal parts being considered, while the denominator represents the total number of equal parts in a whole. When the numerator and denominator of a fraction are multiplied or divided by the same non-zero number, the resulting fraction is equivalent to the original fraction.

Example:
Let's consider the fraction 2/3. If we multiply both the numerator and denominator by 2, we get:
2/3 x 2/2 = 4/6

Now, let's simplify the fraction 4/6 by dividing both the numerator and denominator by their greatest common divisor, which is 2:
4 ÷ 2 / 6 ÷ 2 = 2/3

As we can see, the resulting fraction 2/3 is equivalent to the original fraction 2/3. They both represent the same amount, which is two-thirds or approximately 0.67.

Importance of Equivalent Fractions

Equivalent fractions are important because they allow us to represent the same value or quantity in different ways. They are particularly useful when comparing or adding fractions. For example, if we have two fractions with different denominators, we can find their equivalent fractions with a common denominator in order to compare them or add them together.

Conclusion

Equivalent fractions are fractions that represent the same value or quantity. They have different numerators and denominators, but can be simplified or written in different forms to show their equivalence. Understanding and working with equivalent fractions is essential for various mathematical operations involving fractions.

To find the simplest form of a fraction, we need to simplify the numerator and denominator until they have no common factors other than 1.


The GCD of 30 and 45 can be found by listing the factors of both numbers and identifying the largest number that divides both of them evenly.

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors of 45: 1, 3, 5, 9, 15, 45

The largest number that appears in both lists is 15. Therefore, the GCD of 30 and 45 is 15.


To simplify the fraction, we divide both the numerator and denominator by the GCD.

$\frac{30}{45}$ divided by 15 gives us $\frac{2}{3}$.


The simplest form of $\frac{30}{45}$ is $\frac{2}{3}$. Therefore, the correct answer is option 'D'.

To solve the given problem, let's break it down step by step:

Step 1: Understand the Problem
The problem asks us to find the value of 6/24 of 24.

Step 2: Find the Fraction Value
To find 6/24 of 24, we need to multiply 6/24 by 24.

Step 3: Simplify the Fraction
To simplify 6/24, we need to find the greatest common divisor (GCD) of the numerator (6) and the denominator (24). The GCD of 6 and 24 is 6. We divide both the numerator and denominator by 6 to simplify the fraction.

6 ÷ 6 = 1
24 ÷ 6 = 4

So, 6/24 simplifies to 1/4.

Step 4: Multiply the Fraction by 24
Now that we have simplified the fraction, we can multiply it by 24.

1/4 * 24 = 1 * 24 / 4 = 24 / 4

Step 5: Simplify the Result
To simplify 24/4, we need to find the GCD of 24 and 4. The GCD of 24 and 4 is 4. We divide both the numerator and denominator by 4 to simplify the fraction.

24 ÷ 4 = 6
4 ÷ 4 = 1

So, 24/4 simplifies to 6/1, which is equivalent to 6.

Therefore, 6/24 of 24 is equal to 6, which corresponds to option D.

To find out what 6/7 of 42 equals, we can follow these steps:

Step 1: Find the fraction value of 6/7
The fraction 6/7 means that we have 6 parts out of a total of 7 parts. So, we can represent this visually as:
```
+---+---+---+---+---+---+---+
| | | | | | | |
+---+---+---+---+---+---+---+
1 2 3 4 5 6 7
```
We have shaded in 6 out of the 7 parts.

Step 2: Multiply the fraction value by 42
To find out what 6/7 of 42 is, we need to multiply the fraction value by 42.
```
6/7 * 42 = (6 * 42) / 7
```

Step 3: Simplify the multiplication
To simplify the multiplication, we multiply the numerators (6 * 42) and the denominators (7).
```
(6 * 42) / 7 = 252 / 7
```

Step 4: Divide the numerator by the denominator
To divide 252 by 7, we perform the division operation.
```
252 ÷ 7 = 36
```

Therefore, 6/7 of 42 equals 36.