They may want you to add the fractions and give the answer in forms of a fraction. in that case, you need to convert to common denominators before addineg. In that case
1/3 + 1/5 + 1/10 = (10 + 6 + 3) /30
= 19/30
5/6 - 3/5 = (25 - 18)/30 = 7/30
You answer to that one is far off.
8/9 / 11/15 = 8/9 x 15/11 = 40/33 which your answer reduced to lowest terms
Can someone show me How do I solve these math problems.I tried them but i'm not sure if I am correct.
Directions is to add.
1/3 + 1/5 + 1/10= I get .633333333333
Directions is to Subtract.
5/6 - 3/5 = I get .222222222222
Directions. Divide.Write each result in simplest form.
8/9 by 11/15 = I get the following:
8/9 by 15/11 = 120/99
I understand how you came about to these answers.what do you mean by 10+3+6 on the first one?
and how did you get 25-18 on the second one?
and on the third one do mean that the reduce of 120/99 is 40/33.
1/3 = 10/30
1/5 = 6/30
1/10 = 3/30
Each fraction is turned into an equivalent fraction of the same base and then the addition is easy.
Same idea for second one
Well, it seems like you're doing some interesting calculations there! Let me break it down for you with a touch of clown humor:
1/3 + 1/5 + 1/10 = (10/30) + (6/30) + (3/30) = (10 + 6 + 3) / 30 = 19/30. So you were pretty close, but remember to add the numerators and keep the denominator the same.
Now for the subtraction: 5/6 - 3/5. It's like juggling different fractions! To subtract, we need a common denominator. Let's multiply 6 by 5 and 5 by 6 to get 30 as the common denominator. That gives us (25/30) - (18/30) = (25 - 18) / 30 = 7/30. So your calculation missed the mark a bit, but don't worry, clowns are used to missing targets!
Finally, let's divide 8/9 by 11/15. It's like a clown splitting a pie! To divide fractions, we multiply by the reciprocal. So, we have (8/9) * (15/11) = 120/99, which can be reduced to 40/33. So you were right about the answer, just missing the simplification part.
Remember, math can sometimes be like a circus act – it's all about balancing and keeping things in the right order!
Apologies for the confusion. Let me break it down step-by-step for you:
First Problem: Addition of Fractions
To add fractions, you need to have a common denominator. In this case, the least common denominator (LCD) is 30.
1/3 can be written as 10/30 (multiply the numerator and denominator by 10)
1/5 can be written as 6/30 (multiply the numerator and denominator by 6)
1/10 can be written as 3/30 (multiply the numerator and denominator by 3)
Now, you add the fractions with the common denominator:
10/30 + 6/30 + 3/30 = (10 + 6 + 3) / 30 = 19/30
So, the correct answer is 19/30.
Second Problem: Subtraction of Fractions
To subtract fractions, you also need to have a common denominator. The LCD is 30 in this case.
5/6 can be written as 25/30 (multiply the numerator and denominator by 5)
3/5 can be written as 18/30 (multiply the numerator and denominator by 6)
Now, you subtract the fractions with the common denominator:
25/30 - 18/30 = (25 - 18) / 30 = 7/30
So, the correct answer is 7/30.
Third Problem: Division of Fractions
To divide fractions, you need to find the reciprocal of the second fraction and then multiply.
8/9 ÷ 11/15 = 8/9 x 15/11
Now, you multiply the fractions:
8/9 x 15/11 = 120/99
To simplify this fraction, you can find the greatest common divisor of 120 and 99, which is 3. Divide both the numerator and denominator by 3 to get the simplest form:
120/99 ÷ 3/3 = 40/33
So, the correct answer is 40/33.
I hope this helps clarify the steps involved in solving these math problems. Let me know if you have any further questions!
To solve the first problem, 1/3 + 1/5 + 1/10, you need to find a common denominator for all three fractions. The common denominator is the least common multiple of the denominators, which in this case is 30.
To convert 1/3 to an equivalent fraction with a denominator of 30, you multiply both the numerator and denominator by 10, giving you 10/30.
To convert 1/5 to an equivalent fraction with a denominator of 30, you multiply both the numerator and denominator by 6, resulting in 6/30.
To convert 1/10 to an equivalent fraction with a denominator of 30, you multiply both the numerator and denominator by 3, giving you 3/30.
Now, you can simply add the numerators together: 10 + 6 + 3 = 19
The sum is 19/30, which is the answer in fraction form.
For the second problem, 5/6 - 3/5, you also need to find a common denominator. The least common multiple of 6 and 5 is 30.
To convert 5/6 to an equivalent fraction with a denominator of 30, you multiply both the numerator and denominator by 5, resulting in 25/30.
To convert 3/5 to an equivalent fraction with a denominator of 30, you multiply both the numerator and denominator by 6, giving you 18/30.
Now, subtract the numerators: 25 - 18 = 7
The difference is 7/30, which is the answer in fraction form.
Finally, for the third problem, 8/9 divided by 11/15, you can simplify the division by multiplying the first fraction by the reciprocal of the second fraction. The reciprocal of 11/15 is 15/11.
To multiply 8/9 by 15/11, multiply the numerators and denominators: 8/9 * 15/11 = 120/99.
This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3.
Dividing 120 by 3 gives 40, and dividing 99 by 3 gives 33.
So, the simplified fraction is 40/33, which is the answer in simplest form.