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Ghella [55]
3 years ago
6

How to add fractions? with unlike denominators

Mathematics
1 answer:
stellarik [79]3 years ago
3 0

Answer:

The recipe calls for 19/12 or 1 7/9 cups.


Step-by-step:

In order to get this answer, we have to add all three fractions together. First, we have to find the LCM (Least Common Multiple) between the three denominators:

2: 2, 4, 6, 8, 10, 12

3: 3,6,9,12

4: 4,8,12

The LCM between these three denominators is 12.

4x3=12

2x6=12

3x4=12

You now multiply the numerator by the same number you multiplied by for the denominator in order to get 12:

3/4 becomes 9/12

1/2 becomes 6/12

1/3 becomes 4/12

We now add all the fractions together:

9/12+6/12+4/12= 19/12

We got 19/12 but the answer is an improper fraction so we turn it into a mixed number:

12x1=12 (7 remaining)

This is written as 1 7/12.

Hope this helps! :)

<h3>CloutAnswers</h3>
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Brady rode his bike 70 miles in 4 hours. He rode at an average speed of 17 miles per hour for t hours and at an average rate of
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Answer:

Brady rides at slower speed which is 17 miles/hours for <em><u>3 hours and 36 minutes.</u></em>

Step-by-step explanation:

Given:

Brady rode 70 miles in 4 hours.

For t hours he rode at the average rate of 17 miles/hour

For rest of the time he rode at the average rate of 22 miles per hour.

To find the time Braady rode at the slower speed.

Solution:

Total time of riding = 4 hours

Time for which Brady rides at 17 miles/ hour = t  hours

Distance covered in t hours = Speed\times time=17\times t =17t\ miles

So, time for which Brady rides at 22 miles/ hour = (4-t) hours

Distance covered in (4-t) hours = Speed\times time=22\times(4-t) =(88-22t)\ miles

Total distance can be given as:

⇒ 17t+88-22t

Simplifying.

⇒ -5t+88

Total distance given =70 miles.

Thus, the equation to find t can be given as:

-5t+88=70

Subtracting both sides by 88.

-5t+88-88=70-88

-5t=-18

Dividing both sides by -5.

\frac{-5t}{-5}=\frac{-18}{-5}

∴ t=3.6 hours

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Thus, Brady rides at slower speed which is 17 miles/hours for 3 hours and 36 minutes.

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