calculate denominator

Question

numerator is 57.7 and product is 0.78, what is the denominator of the fraction?

Answer 1

lets Call the denominator X

So

57.7/ X = 0.78

any number without. Denominator we can give it a denominator of 1, because any number decided by 1 gives us the same number .

so

57.7 /X = 0.78/1

then we cross multiply. Meaning we multiply the numerator on one side of the equal sign by the denominator of the other side then the opposite and put the equal sign between them

so

57.7 * 1 = X * 0.78

we want X by itself, so we’ll decide both sides by 0.78

X = 57.7/ 0.78

X ≈ 73.97 (rounded to the hundredth)

so our denominator is 73.97

since 0.78 has only 2 significant figures , then the answer should ideally have 2 sig figs in it as well.

so the answer is ≈ 74