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help please and show working

Help Please And Show Working class=

Sagot :

Answer:

27/4 or 6 3/4

Step-by-step explanation:

Change all mixed numbers into improper fractions

2 1/9 = 19/9

6 1/4 = 25/4

19/9 ÷ 2/3 - 25/4 x 2/5

dividing fractions you can multiply and use reciprocal of the fraction (means you switch the top and bottom numbers)

19/9 x 3/2 - 25/4 x 2/5

you can reduce the top and bottom numbers to make them smaller by dividing. find a common number to divide them by, you can cross out the numbers and just put the new equation below

19/3 x 1/2 - 5/4 x 2/1

multiply across the fractions first PEMDAS, then subtract

19/6 - 10/4 (multiply by 2 and 3 respectively to get both bottom numbers the same, multiply by the same number on top)

57/12 - 30/12 = 27/12

1/5 x 1/3 + 2/5 x 2/3

1/15 + 4/15 = 5/15 or 1/3

27/12 / 1/3

you can multiply the fractions and flip the top and bottom numbers of 1/3

27/12 x 3/1

reduce 12 and 3

27/4 x 1/1 = 27/4 or 6 3/4