Question

Y* (1 4/5 + 2 3/4 - 3 7/10)=25/48+2 2/3 ​

Answer 1

Ответ:

25/48+8/3=51/16=3 3/1

Answer 2

To simplify the expression Y* (1 4/5 + 2 3/4 - 3 7/10), we need to convert the mixed numbers to improper fractions and perform the arithmetic operations.

1 4/5 can be converted to an improper fraction as follows:

1 4/5 = (1 * 5 + 4)/5 = 9/5

Similarly, 2 3/4 can be converted to an improper fraction:

2 3/4 = (2 * 4 + 3)/4 = 11/4

And 3 7/10 can be converted to an improper fraction:

3 7/10 = (3 * 10 + 7)/10 = 37/10

Now, let's substitute these values back into the expression:

Y * (9/5 + 11/4 - 37/10)

To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 20:

Y * (36/20 + 55/20 - 74/20)

Now, we can add the fractions:

Y * (36/20 + 55/20 - 74/20) = Y * (17/20)

Next, let's simplify the right side of the equation:

25/48 + 2 2/3

To add a whole number and a fraction, we need to convert the whole number to a fraction with the same denominator as the fraction:

2 = 2 * 48/48 = 96/48

Now, we can add the fractions:

25/48 + 96/48 + 2/3

Combining the numerators:

121/48 + 2/3

To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 48:

121/48 + 2/3 = (121 * 3)/(48 * 3) + (2 * 16)/(3 * 16)

363/144 + 32/48

Now, let's convert the fractions to have the same denominator:

363/144 + 32/48 = (363 * 1)/(144 * 1) + (32 * 3)/(48 * 3)

363/144 + 96/144

Adding the numerators:

(363 + 96)/144 = 459/144

Now, we have:

Y * (17/20) = 459/144

To solve for Y, we can multiply both sides of the equation by the reciprocal of 17/20, which is 20/17:

Y * (17/20) * (20/17) = (459/144) * (20/17)

Y = (459/144) * (20/17)

Now, we can simplify the right side of the equation:

Y = (459 * 20)/(144 * 17)

Y = 9180/2448

Simplifying the fraction:

Y = 15/4

Therefore, the simplified expression is Y = 15/4.