Question

3,4 x 4 3/4 - 2 1/2 х 3,4 + 1/4​

Answer 1

3,4•4 3/4-2 1/2•3,4+1/4=17/5•3-1/2•17+1/4=51/5-1/2•17+1/4=51/5-17/2+1/4=39/20

Answer 2

To solve the given expression $3.4 \times \left(4 \frac{3}{4}\right) - 2 \frac{1}{2} \times 3.4 + \frac{1}{4},$ we'll follow the order of operations: parentheses first, then multiplication and division, and finally addition and subtraction.

First, we'll convert mixed numbers to improper fractions: $4 \frac{3}{4} = \frac{4 \times 4 + 3}{4} = \frac{19}{4},$ and $2 \frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{5}{2}.$

Now, the expression becomes: $3.4 \times \frac{19}{4} - \frac{5}{2} \times 3.4 + \frac{1}{4}.$

Next, we'll calculate the products and subtractions step by step:

1. $3.4 \times \frac{19}{4} = \frac{3.4 \times 19}{4} = \frac{64.6}{4} = 16.15.$
2. $\frac{5}{2} \times 3.4 = \frac{5 \times 3.4}{2} = 8.5.$

Now, the expression becomes: $16.15 - 8.5 + \frac{1}{4}.$

Now, we'll perform the addition and subtraction: $16.15 - 8.5 + \frac{1}{4} = 7.65 + \frac{1}{4}.$

To add a fraction to a decimal, we'll convert the decimal to a fraction with the same denominator as the fraction: $7.65 + \frac{1}{4} = \frac{7.65 \times 4}{4} + \frac{1}{4} = \frac{30.6}{4} + \frac{1}{4} = \frac{31.6}{4} = 7.9.$

So, the result of the expression is $7.9.$