In this article, we will teach you the basics of everything you need to know about mixed numbers.
If you wish to delve deeper into a specific topic, you can access the corresponding extensive article.
In this article, we will teach you the basics of everything you need to know about mixed numbers.
If you wish to delve deeper into a specific topic, you can access the corresponding extensive article.
A fraction that is greater than 1 is a fraction whose numerator is larger than its denominator, this type of fractions can be converted into mixed numbers.
It is important that we remember similar topics:
Multiply the whole number by the denominator.
To the obtained product, add the numerator. The final result will be the new numerator.
Nothing is changed in the denominator.
The whole number is written in the numerator and the 1 in the denominator.
You can continue reading in these articles:
\( 3:\frac{5}{7}= \)
\( 1:\frac{1}{4}= \)
\( 2:\frac{2}{3}= \)
\( 7\times\frac{6}{8}= \)
\( 8\times\frac{5}{9}= \)
To divide the whole number 3 by the fraction , we follow these steps:
Let's calculate this:
Step 1: The reciprocal of is .
Step 2: Multiply: .
Step 3: Convert the improper fraction to a mixed number:
Thus, the solution to is .
The correct choice among the given answers is: .
To solve the division problem , we will follow these steps:
Thus, after performing these operations, we find that the result of the division is .
To solve the expression , follow these steps:
Therefore, the solution to the problem is .
To solve the multiplication of an integer with a fraction, we need to follow these steps:
Now, let's work through each step:
Step 1: Multiply 7 by 6, which gives us as the numerator.
Step 2: The denominator remains 8, so we have the fraction .
Step 3: Simplify by finding the greatest common divisor (GCD) of 42 and 8. The GCD is 2.
We divide the numerator and the denominator by 2: .
Step 4: Convert into a mixed number:
Divide 21 by 4, which equals 5 with a remainder of 1. Thus, is equivalent to the mixed number .
Therefore, the solution to the problem is .
To solve the problem of multiplying by , we can follow these steps:
Therefore, the solution to the multiplication problem is .
\( 10\times\frac{7}{9}= \)
\( 3:\frac{3}{4}= \)
\( 4:\frac{3}{5}= \)
\( 4:\frac{4}{7}= \)
\( 6\times\frac{3}{4}= \)
To solve the problem , we follow these steps:
Let's work through each step:
Step 1: Multiply 10 by 7 to get 70.
Step 2: Divide 70 by 9 to get 7 remainder 7.
Step 3: The proper whole number from the division is 7, with the remainder over the original fraction denominator giving us the final fraction .
Thus, the product is .
To solve the problem , we must perform division of the whole number 3 by the fraction . Here are the steps:
The solution to the division is .
To solve the problem , follow these steps:
Therefore, the solution to the problem is .
To solve the problem , we'll apply the concept of dividing by a fraction:
Step 1: Convert the division to multiplication by the reciprocal of the fraction. The reciprocal of is .
Thus, the expression is equivalent to .
Step 2: Perform the multiplication:
Step 3: Multiply the numerators and the denominators:
Step 4: Simplify the fraction:
Therefore, the result of dividing by is .
To solve the problem , we follow these steps:
Therefore, the solution to the problem is .
\( 7\times\frac{2}{5}= \)
\( 8\times\frac{1}{2}= \)
\( 3:\frac{5}{6}= \)
\( 1:\frac{3}{4}= \)
\( 3\times\frac{6}{7}= \)
To solve the problem , we will follow a structured approach:
Let's work through each step:
Step 1: Multiply the whole number by the numerator.
We have .
Step 2: Keep the denominator the same.
The resulting fraction is .
Step 3: Convert the improper fraction to a mixed number if possible.
Divide the numerator by the denominator: with a remainder of .
This results in the mixed number .
Therefore, the solution to the problem is , which corresponds to choice 3 in the provided options.
To solve this mathematical problem, we need to multiply a whole number, 8, with the fraction, .
Here are the steps:
Therefore, the multiplication of 8 by is .
In the context of the multiple-choice options provided, the correct answer is choice (4): .
To solve this problem, let's carry out the following steps:
Thus, the solution to the problem is .
To solve this problem, let's divide by . The solution involves converting the division into a multiplication:
Step 1: Recognize as the division .
Step 2: Convert division into multiplication: .
Step 3: Compute the multiplication: .
Step 4: Convert into a mixed number: .
Therefore, the solution to the division is
The correct answer is .
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Convert the whole number 3 into a fraction:
3 becomes .
Step 2: Multiply the fraction by :
The numerators are .
The denominators are .
The result is .
Step 3: Convert to a mixed number:
Divide the numerator by the denominator: 18 divided by 7 is 2 with a remainder of 4.
Thus, .
Therefore, the solution to the problem is .