Question

X:7/15=5/14 3 1/3:Y=2 6/7

Answer 1

Ответ:

X:7/15=5/14

Х=5/14*7/15

Х=1/6

3 1/3:Y=2 6/7

Y=3 1/3:2 6/7

Y=10/3*7/20

Y=7/6=1 1/6

Answer 2

Ответ:

Пошаговое объяснение:

X:7/15=5/14

Х=5/14*7/15

Х=1/6

3 1/3:Y=2 6/7

Y=3 1/3:2 6/7

Y=10/3*7/20

Y=7/6=1 1/6

Answer 3

To solve the equation X:7/15 = 5/14, we can use cross-multiplication.

Cross-multiplying gives us:

14 * X = 7/15 * 5

Simplifying the right side:

14 * X = 35/15

To isolate X, we divide both sides of the equation by 14:

X = (35/15) / 14

Simplifying further:

X = 35/15 * 1/14

Multiplying the fractions:

X = 35/210

Reducing the fraction to its simplest form:

X = 1/6

Therefore, X is equal to 1/6.

Now, let's solve the equation 3 1/3:Y = 2 6/7.

To compare fractions with whole numbers, we convert the whole numbers into fractions.

3 1/3 can be written as (3 * 3 + 1) / 3 = 10/3

2 6/7 can be written as (2 * 7 + 6) / 7 = 20/7

So, the equation becomes:

10/3 : Y = 20/7

To solve for Y, we again use cross-multiplication:

(10/3) * 7 = (20/7) * Y

Simplifying both sides:

70/3 = 20Y/7

To eliminate the fraction on the right side, we multiply both sides by 7:

70 * 7 / 3 = 20Y

Simplifying further:

490/3 = 20Y

To isolate Y, we divide both sides by 20:

Y = (490/3) / 20

Simplifying:

Y = 490/3 * 1/20

Multiplying the fractions:

Y = 490/60

Reducing the fraction:

Y = 49/6

Therefore, Y is equal to 49/6.