Question

24/35 ÷ y= 1 целая 5/49​

Answer 1

У = 24/35 : 54/49

У = 24/35 * 49/54

У = 4/5 * 7/9

У = 28/45

Answer 2

To solve the equation 24/35 ÷ y = 1 целая 5/49, we need to simplify the expression on the right side and then isolate the variable y.

First, let's convert 1 целая 5/49 into an improper fraction. "1 целая" means 1 whole number, so we can rewrite it as 1 + 5/49.

To add the whole number and the fraction, we need a common denominator. The denominator of the fraction is 49, so we can write the whole number as 49/49. Adding them together, we get (49/49) + (5/49) = 54/49.

Now, we can rewrite the equation as:

24/35 ÷ y = 54/49

To simplify further, we can multiply both sides of the equation by the reciprocal of 24/35, which is 35/24:

(24/35 ÷ y) * (35/24) = (54/49) * (35/24)

Simplifying the left side, the 24/35 and 35/24 cancel out:

1 ÷ y = (54/49) * (35/24)

To simplify the right side, we can multiply the numerators and denominators:

1 ÷ y = (54 * 35) / (49 * 24)

Calculating the numerator and denominator:

1 ÷ y = 1890 / 1176

To isolate y, we can take the reciprocal of both sides:

y ÷ 1 = 1176 / 1890

Simplifying the right side:

y = 1176 / 1890

This fraction cannot be simplified further, so the solution for y is:

y = 1176 / 1890