Question

URGENT: I need to solve this problem: 4 - (-6), but that's not all, I'm not really good at math and I need step by step answers as well. Could somebody answer. If you want there are these too: Please include answers and steps -2.5 + 6.1 -10.3 - (-7.79) -4 + 6 1/2 8 5/6 + (-2 1/4) Thank you

Answer 1

10

3.59

6 7/12

Explanation:

4 - (-6)

= 4+ 6 ( because when we multiply the negative sign with the negative sign we get a positive sign or a plus sign)

= 10

-2.5 + 6.1 -10.3 - (-7.79) -4 + 6 1/2

= -2.5 + 6.1 -10.3 +7.79 -4 + 6.5 [ (-*-=+) ( converting 6 1/2 into decimal = 6.5)]

= 6.1+7.79+ 6.5 -2.5 -10.3-4 { adding the + numbers and - numbers separately}

= 20.39 - 16.8 { subtracting the totals of + and - numbers}

= 3.59

8 5/6 + (-2 1/4)

= 53/6 - 9/4 { Converting into improper fractions}

= 53( 2) - 9(3)/12 { Taking LCM = 12}

= 106-27/12

= 79/12

= 6 7/12

{ Converting into improper fractions and vice versa}

• we multiply the denominator with the whole number and add it to the numerator to get the improper fraction.( 8 5/6= 53/6)

• we divide the numerator with the denominator the answer gives the whole number and the remainder gives the numerator of the proper fraction. ( 79/12 = 6 7/12)

{ Taking LCM = 12}

Factors of 6 are 3 and 2

Factors of 4 are 2 and 2

Least Common Multiple is taking the common factors and multiplying it with the rest . 2 is common in both . It will be taken once and then multiplied with the other 2 and 3 so we get

LCM = 2*2*3= 12