Question

(5/12 - 1/4) ÷ (1/3 + 1/16)​

Answer 1

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