Question

(6 7/12-5 11/15)*(1 3/17-10/17)

Answer 1

(6 7/12-5 11/15)*(1 3/17-10/17)=(6 35/60-5 44/60)*(1 -7/17)=
(1 35/60- 44/60)*10/17=(1-9/60)*10/17=51/60*10/17=3/60*10/1=3/6=1/2

Answer 2

To calculate the expression (6 7/12 - 5 11/15) * (1 3/17 - 10/17), you can follow these steps:

Step 1: Convert mixed numbers to improper fractions:

6 7/12 = (6 * 12 + 7) / 12 = 79/12 5 11/15 = (5 * 15 + 11) / 15 = 76/15 1 3/17 = (1 * 17 + 3) / 17 = 20/17

Step 2: Perform the subtraction inside the parentheses:

(79/12 - 76/15) * (20/17 - 10/17)

Step 3: Find a common denominator for each pair of fractions:

For the first pair (79/12 - 76/15), the common denominator is 60, so you need to rewrite both fractions with the denominator of 60:

(79/12 * 5/5 - 76/15 * 4/4) * (20/17 - 10/17)

Step 4: Calculate each part separately:

(395/60 - 304/60) * (20/17 - 10/17)

Step 5: Subtract the fractions:

(91/60) * (10/17)

Step 6: Multiply the fractions:

(91/60) * (10/17) = (91 * 10) / (60 * 17) = 910/1020

Step 7: Simplify the fraction:

910/1020 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 10:

(910/10) / (1020/10) = 91/102

So, the result of the expression (6 7/12 - 5 11/15) * (1 3/17 - 10/17) is 91/102.