3 1/2 - 4 2/5 how do i do this?

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

5 0

Answer:

Ok so first you would have to turn them into improper fractions which is

3 $\frac{1}{2\\}$ = $\frac{7}{2}$ and 4 $\frac{2}{5}$ = $\frac{22}{5}$

So now that you have made them both improper fractions you have to find common denominators.

To find common denominators you must multiply both the numerator and the denominator by the same thing. Since your oposing fraction has a denominator of 5 you can know that a even number wont go in an odd number so take $\frac{22}{5}$ and mutiply both numbers by 2 and get $\frac{44}{10}$ . Then mutiply both numbers in $\frac{7}{2}$ by 5 to get a common denominator.

$\frac{35}{10}$

$\frac{35}{10} -$ $\frac{44}{10}$ =35 - 44 = -9 so your answer is $-\frac{9}{10}$

Step-by-step explanation:

You might be interested in

The sum of squares of two consecutive odd numbers is 514 find the numbers

amid [387]

Correct Question : The sum of squares of two consecutive positive odd numbers is 514. Find the numbers.

$\rule{130}1$

Solution :

Let the two consecutive positive odd numbers be x and (x + 2)

$\rule{130}1$

☯ $\underline{\boldsymbol{According\: to \:the\: Question\:now :}}$

$:\implies\sf x^2 + (x + 2)^{2} = 514 \\\\\\:\implies\sf x^2 + x^2 + 4x + 4 = 514\\\\\\:\implies\sf 2x^2 + 4x + 4 = 514 \\\\\\:\implies\sf 2x^2 + 4x = 514 - 4\\\\\\:\implies\sf 2x^2 + 4x = 510 \\\\\\:\implies\sf 2x^2 + 4x - 510 = 0\\\\\\:\implies\sf x^2 + 2x - 255 = 0 \:\:\:\:\:\Bigg\lgroup \bf{Dividing\:by\:2}\Bigg\rgroup\\\\\\:\implies\sf x^2 + 17x - 15x - 255 = 0\\\\\\:\implies\sf x(x + 17) - 15(x + 17) = 0\\\\\\:\implies\sf (x + 17) (x - 15)\\\\\\:\implies\sf x = - 17\:or\:x = 15\\\\\\:\implies\underline{\boxed {\sf x = 15}}\:\:\:\:\:\Bigg\lgroup \bf{Positive\:odd\: number}\Bigg\rgroup$