- Conversion a mixed number 8 9/10 to a improper fraction: 8 9/10 = 8 9/10 = 8 · 10 + 9/10 = 80 + 9/10 = 89/10
To find a new numerator:
a) Multiply the whole number 8 by the denominator 10. Whole number 8 equally 8 * 10/10 = 80/10
b) Add the answer from previous step 80 to the numerator 9. New numerator is 80 + 9 = 89
c) Write a previous answer (new numerator 89) over the denominator 10.Eight and nine tenths is eighty-nine tenths
- Conversion a mixed
number 3 2/3 to a improper fraction: 3 2/3 = 3 2/3 = 3 · 3 + 2/3 = 9 + 2/3 = 11/3
To find a new numerator:
a) Multiply the whole number 3 by the denominator 3. Whole number 3 equally 3 * 3/3 = 9/3
b) Add the answer from previous step 9 to the numerator 2. New numerator is 9 + 2 = 11
c) Write a previous answer (new numerator 11) over the denominator 3.Three and two thirds is eleven thirds
- Subtract:
89/10 - 11/3 = 89 · 3/10 · 3 - 11 · 10/3 · 10 = 267/30 - 110/30 =
267 - 110/30 = 157/30
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 3) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 3 = 30. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - eighty-nine tenths minus eleven thirds is one hundred fifty-seven thirtieths.
It can sometimes be difficult to multiply fractions, such as 2/3 times 9/10. But it's no problem! We have displayed the answer below:
2/3 x 9/10 = 3/5
How did we solve the problem above? When we multiply two fractions, such as 2/3 x 9/10, we simply multiply the numerators by each other and the denominators by each other.
We also simplify the answers to fraction problems whenever possible.
How To Multiply Fractions
Learn how to calculate 2/3 x 9/10. Go here for step-by-step instructions on how to multiply fractions.
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More information from Research Maniacs:
What is 2/3 plus 9/10?
What is 2/3 minus 9/10?
What is 2/3 divided by 9/10?
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Step 1
We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.
So we multiply 2 by 10, and get 20, then we multiply 3 by 10 and get 30.
Do the same for the second term. We multiply 9 by 3, and get 27, then multiply 3 by 10 and get 30.
So now our fractions look like this:
Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Nope! So now we try the next greatest prime number, 3...
Nope! So now we try the next greatest prime number, 5...
Nope! So now we try the next greatest prime number, 7...
Nope! So now we try the next greatest prime number, 11...
Nope! So now we try the next greatest prime number, 13...
Nope! So now we try the next greatest prime number, 17...
Nope! So now we try the next greatest prime number, 19...
Nope! So now we try the next greatest prime number, 23...
Nope! So now we try the next greatest prime number, 29...
Nope! So now we try the next greatest prime number, 31...
No good. 31 is larger than 30. So we're done reducing.
There you have it! Here's the final answer to 2/3 + 9/10