What is 5/4 minus 3/4 equal?

1/2

Step-by-step explanation: When subtracting like fractions, subtract the numerators, and keep the denominator the same.

So here, we subtract the numerators, 5 - 3 to get 2 and keep our denominator of 4. So 5/4 - 3/4 is 2/4.

Notice however that 2/4 is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 2 and 4 which is 2. So if we divide the numerator and the denominator by 2, we get the equivalent fraction 1/2.

So 5/4 - 3/4 is 1/2 which is in lowest terms.

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb