Answer:
8/9 = 0.421052632
Step-by-step explanation:
(5/12 - 1/4) / (1/3+1/16)
Least common multiple of 12 and 4 is 12. Convert 5/12 and 1/4 o fractions with denominator 12.
5/12 - 3/12 / 1/3+1/16
Since 5/12 and 3/12 have the same denominator, subtract them by subtracting their numerators.
5-3/12 / 1/3+1/16
Subtract 3 from 5 to get 2.
2/12 / 1/3+1/16
Reduce the fraction 2/12 to lowest terms by extracting and canceling out 2.
1/6 / 1/3 + 1/16
Least common multiple of 3 and 16 is 48. Convert 1/3 and 1/16 to fractions with denominator 48.
1/6 / 16/48 = 3/48
Since 16/48 and 3/48 have the same denominator, add them by adding their numerators.
1/6 / 16+3/48
Add 16 and 3 to get 19.
1/6 / 19/48
Divide 1/6 by 19/48 by multiplying 1/6 by the reciprocal of 19/48
1/6 x (48/19)
Multiply 1/6 times 48/19 by multiplying numerator times numerator and denominator times denominator.
1 x 48/6 x 19
Do the multiplications in the fraction 1 x 48/6 x 19
48/114
Reduce the fraction 48/114 to lowest terms by extracting and canceling out 6.
8/19
