Question

(5/12-3/16):1 3/8..........​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To simplify the expression (5/12 - 3/16) ÷ 1 3/8, first find the value of (5/12 - 3/16):

5/12 - 3/16:

To subtract fractions, you need to find a common denominator. In this case, the common denominator for 12 and 16 is 48. So, you need to convert both fractions to have a denominator of 48:

(5/12) = (5/12) * (4/4) = 20/48 (3/16) = (3/16) * (3/3) = 9/48

Now, subtract the fractions:

(20/48) - (9/48) = (20 - 9)/48 = 11/48

Now, the expression becomes:

(11/48) ÷ 1 3/8

To divide by a mixed number, convert the mixed number to an improper fraction. To do this, multiply the whole number by the denominator and then add the numerator. In this case:

1 3/8 = (8 * 1 + 3)/8 = 11/8

Now, you have:

(11/48) ÷ (11/8)

To divide by a fraction, you can multiply by its reciprocal. The reciprocal of 11/8 is 8/11. So, you have:

(11/48) * (8/11)

Now, multiply the fractions:

(11/48) * (8/11) = (11 * 8)/(48 * 11)

Now, simplify the fraction:

(88)/(528)

You can simplify further by dividing both the numerator and denominator by their greatest common divisor, which is 88:

(88/88) / (528/88) = 1/6

So, (5/12 - 3/16) ÷ 1 3/8 simplifies to 1/6.