Question

10a×(1/5b+1 1/2c-3 4/5y)

Answer 1

Ответ:

10a × (1/5b + 1 1/2c - 3 4/5y) = 10a × (1/5b + 3/2c - 19/5y)

= 2a/b + 15ac/2 - 38ay

Answer 2

To simplify the expression 10a × (1/5b + 1 1/2c - 3 4/5y), we can follow the order of operations (PEMDAS/BODMAS). Let's break it down step by step:

Step 1: Convert mixed numbers to improper fractions. 1 1/2 can be written as 3/2. 3 4/5 can be written as 19/5.

Now the expression becomes: 10a × (1/5b + 3/2c - 19/5y)

Step 2: Simplify the expression inside the parentheses. To add or subtract fractions, we need to find a common denominator. In this case, the common denominator is 10bcy. We'll multiply the numerator and denominator of each fraction by the appropriate factors to achieve this.

(1/5b + 3/2c - 19/5y) becomes: (2/10bc + 15c/10bc - 38y/10bc)

Step 3: Distribute 10a to each term inside the parentheses. 10a × (2/10bc + 15c/10bc - 38y/10bc) becomes: (20a/10bc + 150ac/10bc - 380ay/10bc)

Step 4: Simplify the expression further if possible. We can simplify the fractions by canceling out common factors in the numerators and denominators. In this case, we can cancel out a factor of 10 in the numerators and a factor of bc in the denominators.

The final simplified expression is: 2a/b + 15ac/b - 38ay/b