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:
\( 4:\frac{6}{8}= \)
\( 1:\frac{1}{4}= \)
\( 7:\frac{7}{8}= \)
\( 3:\frac{2}{3}= \)
\( 3:\frac{5}{7}= \)
To solve this problem, we'll proceed as follows:
Let's work through these steps:
Step 1: Simplify .
simplifies to by dividing the numerator and the denominator by 2 (the greatest common divisor).
Step 2: Find the reciprocal of and multiply it by 4.
The reciprocal of is .
So, .
Step 3: Simplify to a mixed number.
can be expressed as since 16 divided by 3 is 5 with a remainder of 1.
Therefore, the solution to the problem 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 this problem, we will follow these steps:
Now, let's work through each step:
Step 1: The given problem is , which means .
Instead of dividing, multiply by the reciprocal:
.
Step 2: Perform the multiplication:
.
The in the numerator and denominator cancel each other out, resulting in:
.
Therefore, the solution to the problem is .
We need to find the value of , which means dividing 3 by .
To solve this, follow these steps:
Let's execute these steps:
Step 2: Since multiplying a whole number by a fraction gives:
Step 3: Convert the improper fraction to a mixed number:
Divide 9 by 2 which gives 4 as the quotient and 1 as the remainder. Thus, the mixed number is .
Therefore, the solution to the ratio is .
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: .
\( 3:\frac{5}{6}= \)
\( 4:\frac{4}{7}= \)
\( 2:\frac{2}{5}= \)
\( 1:\frac{3}{4}= \)
\( 2:\frac{2}{3}= \)
To solve this problem, let's carry out the following steps:
Thus, 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 this problem, we will follow these steps:
Now, let's work through each step:
Step 1: The reciprocal of the fraction is .
Step 2: Multiply the whole number 2 by :
Step 3: Simplify :
Divide 10 by 2, which gives us 5.
Therefore, 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 the expression , follow these steps:
Therefore, the solution to the problem is .
\( 4:\frac{3}{5}= \)
\( 3:\frac{3}{4}= \)
\( 5:\frac{2}{5}= \)
\( 3:\frac{1}{2}= \)
\( 1:\frac{2}{3}= \)
To solve the problem , follow these steps:
Therefore, the solution to the problem 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 this problem, we'll perform the division by converting it into multiplication:
Through these steps, we find that the solution to the division problem is .
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The divisor is . The reciprocal of is 2.
Step 2: Multiply the dividend, which is 3, by the reciprocal of the divisor:
Therefore, the solution to the problem is .
We need to evaluate the expression .
To do this, we use the principle that dividing by a fraction is equivalent to multiplying by its reciprocal. Therefore, the expression becomes:
.
Next, we multiply the whole number by the reciprocal:
.
To express as a mixed number, we write it as:
.
Thus, the solution to the problem is , which matches choice 3 from the options provided.