What is 7 15 divided by 3 5 as a fraction?
What is 7 15 divided by 3 5 as a fraction?
To answer this question, we need to convert the mixed numbers 7 15 and 3 5 into improper fractions. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Let's convert 7 15 into an improper fraction first. To do that, we multiply the whole number (7) by the denominator (5) and then add the numerator (15) to get the new numerator. So, 7 15 as an improper fraction is 52/5.
Now, let's convert 3 5 into an improper fraction. Following the same process as before, we multiply the whole number (3) by the denominator (5) and then add the numerator (5) to get the new numerator. Therefore, 3 5 as an improper fraction is 20/5.
Now that both mixed numbers have been converted to improper fractions, we can divide them. Dividing fractions is the same as multiplying the first fraction by the reciprocal of the second. So, to find the division of 7 15 by 3 5, we can multiply the first fraction (52/5) by the reciprocal of the second fraction (5/20).
Multiplying both fractions, we get (52/5) * (5/20) = (52 * 5) / (5 * 20) = 260 / 100.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 20. Dividing 260 by 20 gives us 13 and dividing 100 by 20 gives us 5. Therefore, 260/100 simplifies to 13/5.
Therefore, 7 15 divided by 3 5 as a fraction is 13/5.
How do I divide by a fraction?
Dividing by a fraction may seem complicated, but it's actually quite simple once you understand the concept. To divide by a fraction, you need to follow a specific procedure.
The first step is to take the reciprocal of the fraction you want to divide by. To find the reciprocal, simply swap the numerator and the denominator of the fraction. For example, if you want to divide by 1/2, the reciprocal would be 2/1 or simply 2.
The second step is to multiply the reciprocal you found in the first step by the fraction you want to divide. For example, if you have the expression 3 divided by 1/2, you would multiply 3 by the reciprocal of 1/2, which is 2. The result would be 3 times 2, which is 6.
Lastly, simplify the answer if necessary. After multiplying, it is always a good practice to simplify the fraction, if possible. In the example above, 6 does not simplify further, so it remains as the final answer.
Keep in mind that division by a fraction is equivalent to multiplying by its reciprocal. This concept is particularly useful in real-life situations, such as when dealing with ratios and proportions. By understanding this process, you'll be able to confidently divide by fractions in various mathematical scenarios.
What is 2 5 divided by 7 3 as a fraction?
To find out the answer to this question, we need to convert the given mixed numbers into improper fractions. After that, we can divide the two fractions to obtain the final answer as a fraction.
Let's start by converting 2 5 and 7 3 into improper fractions. To do this, we multiply the whole number by the denominator and add the numerator. For 2 5, the improper fraction is (2 x 5) + 5 = 15/5. For 7 3, the improper fraction is (7 x 3) + 3 = 24/3.
Now that we have 15/5 divided by 24/3, we can simplify the fractions by finding the greatest common divisor (GCD) of the numerators and denominators. The GCD of 15 and 5 is 5, while the GCD of 24 and 3 is 3.
Dividing both the numerators and denominators by their respective GCDs, we get (15 ÷ 5) / (24 ÷ 3) = 3/8.
Therefore, 2 5 divided by 7 3 as a fraction is equal to 3/8.
How do you turn a division answer into a fraction?
When you have a division answer and you want to express it as a fraction, there is a simple procedure to follow. First, you need to identify the numbers involved in the division. Next, you can place the divisor (the number being divided) as the numerator of the fraction. Then, you place the dividend (the number doing the dividing) as the denominator of the fraction.
For example, let's say you have the division answer 2 ÷ 3. To turn this into a fraction, you would write it as 2/3. The number 2, which is being divided, becomes the numerator and the number 3, which is doing the dividing, becomes the denominator of the fraction.
If the division answer already appears as a fraction, then you don't need to do anything else. It is already in the desired form. However, if the division answer is a decimal or a whole number, you can convert it to a fraction by following the steps mentioned above.
Let's take another example. If the division answer is 0.5, you can write it as a fraction by placing 0.5 in the numerator and 1 in the denominator (since any number divided by 1 remains unchanged). So, 0.5 can be expressed as 0.5/1, and if you simplify it, you get the fraction 1/2.
In summary, the process of turning a division answer into a fraction involves identifying the numbers involved, placing the divisor as the numerator, and the dividend as the denominator. This allows you to represent the division answer as a fraction, which can be useful in mathematical calculations or comparisons.
How to solve a fraction?
Fractions can often seem intimidating, but with a few simple steps, you can easily solve them. Here's a step-by-step guide on how to solve a fraction:
- Understand the basics: Fractions consist of a numerator and a denominator, separated by a slash (/) symbol. The numerator represents the number of parts we have, while the denominator represents the total number of equal parts the whole is divided into.
- Identify the problem type: Fractions can be solved in different ways, depending on the problem type. Are you adding, subtracting, multiplying, or dividing fractions? Identifying the problem type is crucial in determining the appropriate solution method.
- Find a common denominator: If you are adding or subtracting fractions, you need to find a common denominator. This will make the fractions easier to work with. To find a common denominator, identify the least common multiple (LCM) of the denominators involved, and then convert each fraction to an equivalent fraction with the common denominator.
- Add or subtract the numerators: Once you have found a common denominator, add or subtract the numerators of the fractions. Keep the denominator the same. The result will be a new fraction with the common denominator.
- Simplify the fraction: If possible, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). This will make the fraction easier to read and work with.
- Multiply or divide fractions: If you are multiplying or dividing fractions, simply multiply the numerators together and the denominators together. You can then simplify the resulting fraction, if necessary.
Remember to always check your work to ensure the solution is correct. Sometimes, fractions may need further simplification or conversion to mixed numbers, depending on the problem requirements. Practice solving different types of fraction problems to become more comfortable and confident with fraction operations.
Solving fractions may seem challenging at first, but with practice and understanding, you'll be able to confidently solve even the most complex fraction problems.