To find out which fraction is the largest, just divide the numerator by the denominator of the ratio and make the comparisons between them, thus defining which is the largest by decimal places or the largest number.

Resolution:

$\large \sf \dfrac{11}{18} \rightarrow 11\div18\rightarrow 0{,}61111111111$

$\large \sf \dfrac{5}{14} \rightarrow 5\div14\rightarrow 0{,}35714285714$

Conclusion:

We can conclude that the largest fraction, being between 11/18 and 5/14, is 11/18.

7 0

2 years ago

Why does using FOIL on polynomial expressions match so closely to integer multiplication?

dezoksy [38]

FOIL is a mnemonic rule for multiplying binomial (that is, two-term) algebraic expressions. 
FOIL abbreviates the sequence "First, Outside, Inside, Last"; it's a way of remembering that the product is the sum of the products of those four combinations of terms. 

For instance, if we multiply the two expressions 
(x + 1) (x + 2) 
then the result is the sum of these four products: 
x times x (the First terms of each expression) 
x times 2 (the Outside pair of terms) 
1 times x (the Inside pair of terms) 
1 times 2 (the Last terms of each expression) 
and so 
(x + 1) (x + 2) = x^2 + 2x + 1x + 2 = x^2 + 3x + 2 
[where the ^ is the usual way we indicate exponents here in Answers, because they're hard to represent in an online text environment]. 

Now, compare this to multiplying a pair of two-digit integers: 
37 × 43 
= (30 × 40) + (30 × 3) + (7 × 40) + (7 × 3) 
= 1200 + 90 + 280 + 21 
= 1591 

The reason the two processes resemble each other is that multiplication is multiplication; the difference in the ways we represent the factors doesn't make it a fundamentally different operation.

7 0

3 years ago