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
