What is 9 10 divided by 3 5 in its simplest form?
What is 9 10 divided by 3 5 in its simplest form?
When faced with a mathematical expression like "9 10 divided by 3 5," we need to perform the division to simplify the fraction. To do this, we divide the numerator (9 10) by the denominator (3 5). In this case, we can interpret 9 10 as nine-tenths and 3 5 as three-fifths.
So, when we divide nine-tenths by three-fifths, we can rewrite the expression as:
(9/10) ÷ (3/5)
To divide fractions, we multiply the numerator of the first fraction (9) by the reciprocal of the second fraction (5/3). This can be expressed as:
(9/10) × (5/3)
Simplifying the fractions, we have:
(9 × 5) / (10 × 3)
Which further simplifies to:
45 / 30
Now, we can simplify the fraction by finding the greatest common divisor (GCD) of 45 and 30. In this case, the GCD is 15. Dividing both the numerator and denominator by 15, we get:
(45 ÷ 15) / (30 ÷ 15)
This simplifies to:
3 / 2
Therefore, the expression "9 10 divided by 3 5" simplifies to three divided by two (3/2) in its simplest form.
What is the quotient of 3 5 and 9 10?
The quotient of 3 5 and 9 10 can be calculated by dividing the numerator, which is 3 5, by the denominator, which is 9 10. To do this, we need to find the decimal representation of both numbers, divide them, and express the result as a fraction.
In the numerator, 3 5 can be written as the decimal 3.5. In the denominator, 9 10 can be written as the decimal 0.9.
To divide 3.5 by 0.9, we can use long division or a calculator. The result of this division is approximately 3.889. However, we need to express this decimal as a fraction.
To convert the decimal 3.889 to a fraction, we can write it as 3 889/1000. Since both the numerator and denominator are divisible by 10, we can simplify this fraction to 389/100. Finally, we can simplify further by dividing both the numerator and denominator by their greatest common divisor, which is 389.
Therefore, the quotient of 3 5 and 9 10 is 389/100.
What is the difference of 9 10 and 3 5?
When comparing numbers, it is important to understand the concept of difference. The difference is the result of subtracting one number from another.
9 and 10 are both single-digit numbers, while 3 and 5 are single-digit numbers as well. However, the main difference lies in their values.
The difference between 9 and 10 is 1. Subtracting 9 from 10 gives us a result of 1. This means that 10 is greater than 9 by 1.
On the other hand, the difference between 3 and 5 is 2. Subtracting 3 from 5 gives us a result of 2. This means that 5 is greater than 3 by 2.
Therefore, when comparing the numbers 9, 10, 3, and 5, the differences are 1 and 2, respectively.
How do you divide fractions in simplest form?
Dividing fractions can sound intimidating, but it's actually quite simple once you understand the process. To divide fractions in simplest form, you follow a few basic steps.
First, multiply the first fraction by the reciprocal of the second fraction. This means you flip the second fraction upside down. For example, if you have 1/4 divided by 2/3, you would multiply 1/4 by 3/2.
Next, multiply the numerators (top numbers) together and the denominators (bottom numbers) together. For our example, we would multiply 1 and 3 to get 3 as the numerator, and multiply 4 and 2 to get 8 as the denominator.
Then, simplify the resulting fraction. Divide the numerator and denominator by their greatest common factor. In our example, 3 and 8 have a greatest common factor of 1, so the fraction cannot be simplified any further.
The final answer is 3/8. This is the simplest form of 1/4 divided by 2/3.
Remember, dividing fractions is like multiplying by the reciprocal, and simplifying involves finding the greatest common factor to reduce the fraction. Practice this process with different fractions to become more comfortable with dividing fractions in simplest form.
What is 10 divided by 3 as a fraction in simplest form?
10 divided by 3 as a fraction in simplest form is equal to 3 and 1/3 or 3⅓. To find this fraction, we divide 10 by 3, which gives us a quotient of 3 with a remainder of 1. The quotient becomes the whole number part of the mixed number fraction, and the remainder becomes the numerator of the fraction. The divisor (3) becomes the denominator of the fraction. Therefore, 10 divided by 3 simplifies to 3 and 1/3 in its simplest form.