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How to add fractions with unequal denominators?

Adding Fractions with Unlike Denominators

If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators.

To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.

For example, suppose you want to add:

111+23

1/11 + 2/3

The LCM of 3 and 11 is 33 . So, we need to find fractions equivalent to 111 and 23 which have 33 in the denominator. Multiply the numerator and denominator of 111 by 3 , and multiply the numerator and denominator of 23 by 11 .

(1 × 311 × 3)+(2 × 113 × 11)=333+2233

Now we have like denominators, and we can add as described above.

=2533

The answer is in the image 

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

The total nom of  code that can be used is equal to 5+3 = 8

The answer is in the image 

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

The solution is in the following image

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

The solution is given in the image below