31:3=
\( \frac{1}{3}:3= \)
\( \frac{1}{2}:2= \)
\( \frac{1}{2}:3= \)\( \)\( \)\( \)
\( \frac{1}{2}:4= \)
\( \frac{2}{3}:5= \)
To solve the problem , we will follow these clear steps:
Using the formula , we have:
.
Therefore, the solution to the problem is .
To solve , we need to rewrite the division as multiplication by the reciprocal of 2. The reciprocal of 2 is .
Thus, the expression becomes:
Calculating the multiplication, we have:
Therefore, the solution to the problem is , which corresponds to choice 3.
To solve this problem of dividing a fraction by a whole number, we'll follow these steps:
Now, let's apply these steps:
Step 1: The whole number is converted to the reciprocal fraction .
Step 2: Multiply the fraction by :
Step 3: The resulting fraction is already in its simplest form.
Therefore, when is divided by , the resulting answer is .
To solve this problem, we need to compute . Here are the steps:
Therefore, the solution to the problem is .
To solve this problem of dividing a fraction by a whole number, we will follow these steps:
Let's work through these steps in detail:
Step 1: Convert the division into a multiplication by the reciprocal.
The given problem is . In arithmetic, division by a whole number can be converted into multiplication by its reciprocal. The reciprocal of the whole number 5 is . Therefore, the expression becomes:
.
Step 2: Multiply the fraction by the reciprocal.
We now multiply the numerators and the denominators:
.
Step 3: Simplify the resulting fraction.
We check if the fraction can be simplified further. Since 2 and 15 have no common divisors besides 1, the fraction is already in its simplest form.
Therefore, the solution to the division problem is .
Upon examining the provided answer choices, we confirm that our solution, , matches choice number 4.
\( \frac{4}{5}:2= \)
\( \frac{3}{4}:4= \)
\( \frac{2}{7}:3= \)
\( \frac{4}{7}:5= \)
\( \frac{5}{8}:2= \)
To solve the problem of dividing the fraction by 2, we can utilize the method of multiplying by the reciprocal. Here’s how you can systematically approach it:
Given the division , we first express the division by finding the reciprocal.
Step 1: The reciprocal of 2 is .
Step 2: Now, multiply the fraction by :
Step 3: Simplify the resulting fraction:
The numerator and the denominator have a common factor of 2. Dividing both by 2 gives:
Therefore, the solution to the problem is .
To solve this problem, follow these steps:
Let's work through it:
Step 1: Start with the expression: .
Step 2: Convert the division by 4 into multiplication by its reciprocal, . The expression becomes: .
Step 3: To multiply fractions, multiply the numerators together and the denominators together:
Numerator:
Denominator:
Therefore, the resulting fraction from the multiplication is .
There is no need for additional simplification as is already in simplest form.
Therefore, the solution to the problem is .
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Rewrite the problem as a multiplication:
Step 2: Multiply the numerators and the denominators:
Step 3: This fraction is already in its simplest form. Looking at the answer choices, we can conclude the correct answer is .
Therefore, the correct solution to the problem is .
To solve the problem of dividing by 5, we will follow these steps:
Now, let's implement these steps:
Step 1: We have the fraction and need to divide it by the whole number 5. In terms of fractions, 5 can be written as .
Step 2: Change the division into multiplication. This requires us to multiply by the reciprocal of , which is . Thus, the expression becomes:
Step 3: Multiply the fractions. To multiply fractions, multiply the numerators and multiply the denominators:
Therefore, the final result of dividing by 5 is .
To solve the problem of dividing the fraction by 2, we can follow these steps:
Therefore, the solution to the problem is .
\( \frac{3}{5}:4= \)
\( \frac{6}{7}:2= \)
\( \frac{3}{4}:3= \)
\( \frac{9}{10}:2= \)
\( \frac{4}{9}:6= \)
To solve this problem, we'll follow these steps:
Let's tackle each step:
Step 1: Convert to a fraction, which is , and find the reciprocal giving .
Step 2: Multiply by to get .
Step 3: The fraction is already in its simplest form.
Therefore, the solution to the problem is .
To solve the problem , we need to remember how to divide a fraction by a whole number:
Step 1: Convert the division problem into a multiplication problem by multiplying by the reciprocal of the whole number. The reciprocal of 2 is .
Step 2: Therefore, we rewrite the problem as .
Step 3: Multiply the numerators together and the denominators together:
Step 4: Simplify the fraction by finding the greatest common divisor of 6 and 14, which is 2. Divide both the numerator and the denominator by 2:
Therefore, the solution to the problem is .
To solve this problem, follow these steps:
Let's solve this step-by-step:
Step 1: The given expression is .
Step 2: Rewrite the division as a multiplication using the reciprocal: .
Step 3: Perform the multiplication: .
Step 4: Simplify by dividing the numerator and the denominator by their greatest common divisor, which is 3:
.
Therefore, the solution to the problem is .
To solve the problem of dividing by 2, follow these steps:
Therefore, the solution to the problem is .
Upon reviewing the provided choices, we identify that choice 4: is correct.
To solve the problem , we follow these steps:
Therefore, the solution to the problem is .