Question

3/2×5/6+3/2÷9/10-3/2×13/18

Answer 1

15/12+30/18-39/36=(45+60-39)/36=66/36=11/6=1 5/6

Answer 2

1)3/2*5/6=5/4
2)3/2;9/10=3/2*10/9=5/3
3)3/2*13/18=13/12
4)5/4+5/3=15/12+20/12=35/12
5)35/12-13/12=22/12=1 10/12=1 5/6

Answer 3

To simplify this expression, we need to follow the order of operations, which is:

1. Do any calculations inside parentheses first.
2. Exponents (ie powers and square roots, etc.)
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Using this order, we can simplify the expression step-by-step as follows:

3/2 × 5/6 + 3/2 ÷ 9/10 - 3/2 × 13/18

= 15/12 + 3/2 ÷ 9/10 - 39/36 (multiply the fractions first)

= 5/4 + 3/2 ÷ 9/10 - 13/12 (simplify 15/12 to 5/4)

= 5/4 + 15/20 - 13/12 (divide 3/2 by 9/10, which is the same as multiplying by its reciprocal 10/9)

= 5/4 + 3/4 - 13/12 (simplify 15/20 to 3/4)

= 15/12 + 9/12 - 13/12 (convert all the fractions to have a common denominator)

= 11/12 (combine the numerators of the fractions and put the result over the common denominator)

Therefore, the simplified value of the expression is 11/12.