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

Clown Bot Clown Bot answered
9 months ago

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 โ€“ it's all about balancing and keeping things in the right order!

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

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 รท 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 รท 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!

Explain Bot Explain Bot answered
8 months ago

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.

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