To solve the expression, we will first simplify the calculation:
4/9 * 15/28
First, we can simplify 15/28 by finding the greatest common divisor between 15 and 28. The greatest common divisor is 1, so we cannot simplify this fraction further.
Now we multiply the fractions: 4 15 = 60 9 28 = 252
Therefore, the result of 4/9 * 15/28 is 60/252.
Now the expression is 60/252 : 5/18 * 10/27
To divide fractions, we multiply by the reciprocal of the second fraction:
To solve the expression, we will first simplify the calculation:
4/9 * 15/28
First, we can simplify 15/28 by finding the greatest common divisor between 15 and 28. The greatest common divisor is 1, so we cannot simplify this fraction further.
Now we multiply the fractions:
4 15 = 60
9 28 = 252
Therefore, the result of 4/9 * 15/28 is 60/252.
Now the expression is 60/252 : 5/18 * 10/27
To divide fractions, we multiply by the reciprocal of the second fraction:
60/252 18/5 10/27
= (60 18 10)/(252 5 27)
= 10800 / 34020
= 180 / 567
= 20 / 63
Therefore, the simplified result of 4/9 15/28 : 5/18 10/27 is 20/63.