geno3141

[ (6d) / (14fg) ] / [ (18d) / (21gx) ]

To divide by a fraction, multiply by the reciprocal:

[ (6d) / (14fg) ]  x [ (21gx) / (18d) ]

Now, multiply numerator times numerator and put that answer in the numerator; then multiply the denominator times denominator and put that answer in the denominator:

[ 6d x 21gx ] / [ 14fg x 18d ]

[ 126 dgx ] / [252 dfg ]

126 divides into 252 twice. The d's cancel and the g's concel.

= x / (2f)

If  - R  =  38

then, multiplying both sides by -1:

 -1 x -R  =  -1 X 38                         Negative times negative is positive; negative times positive is negative.

  R  =  -38

If areas are in the ratio  a² / b²,  their corresponding lengths will be in the ratio  a / b.

Since the area are in the ratio  36 / 25,  their corresponding lengths will be in the ration  6 / 5.

The ratio of their sides will be 6 : 5.

Since perimeters are lengths, the ratio of their perimeters is also  6 : 5.

To explain why:

If the areas are 36 and 25, they could both be squares; a square with an area of 36 has a side length of 6; a square with an area of 25 has a side length of 5; thus, the ratio of sides is 6:5.

The perimeters of the above squares are 24 and 20; a ratio of 24:20, which reduces to 6:5.

5 / (6a)  +  2 / (3b)

A common denominator has to have an 'a', a 'b', and a number that contains both  6  and  3; so, let's use  6ab.

The first denominator needs a 'b' and the second denominator needs '2a'; so multiply:

[ 5 / (6a) ] x [ b / b ]  +  [ 2 / (3b) ] x [ 2a / 2a ]

  ( 5b ) / ( 6ab)  +  ( 4a ) / ( 6ab)        Add the numerators; place that answer over the common denominator.

  =  ( 5b + 4a ) / ( 6ab )

The prime factors of  18  are  2  and  3.

The prime factors of  35  are  5  and  7.

Since they have no factors in common (except for 1), they cannot be divided by the same whole number (except for 1).

8/15  +  5/6

Use a common denominator; if you don't want to go through the work of finding the lowest common denominator, just multiply the two denominators together:  15 x 6  =  90

(8/15) x (6/6)  +  (5/6) x (15/15)

=  48/90 + 75/90    Add the numerators together; place that answer over the common denominator.

=  123/90               But since I didn't look for a common denominator, I'll have to reduce the answer;                                                 both 123 and 90 are divisible by 3.

=  41/30

14^2  =  14 x 14  =  196

(5-3)^2  =  (2)^2  =  2 x 2  =  4

(6-2)^2  =  (4)^2  =  4 x 4  =  16

14^ - (5-3)^2 + (6-2)^2   becomes:

196  -  4  +  16

 =  192  +  16  

 =  208

When solving problems like these, always do what's inside parentheses first.

2357 ÷ 17  =  138 with a remainder of  11

To multiply with the quotient (138 with a remainder of  11), rewrite the remainder as 11/17.

If you need to multiply using 138 11/17, you can write it as 2357/17 and use this fraction.

If you post back with a more specific problem, we can be more helpful. 

x = 6  tells you what the value for  x  is in the equation:  2 + 4(x - 1)  =  22

                                                                    because:  2 + 4(6 - 1)  =  22

                                                                                        2 + 4(5)  =  22

                                                                                           2 + 20  =  22

                                                                                                 22  =  22

This is a formula to turn centigrade temperature into fahrenheit temperatures.

Do you need help using it?