Х : 2 13/36 = 27/85 : 1/4

Question 1

Задача Задача №76832

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Аноним

01 декабря 2023 13:46 · публичный вопрос

А

Аноним 01 декабря 2023 13:46

Х : 2 13/36 = 27/85 : 1/4

Answer

To solve the equation х : 2 13/36 = 27/85 : 1/4, we need to perform the following steps:

Convert the mixed number 2 13/36 into an improper fraction. 2 13/36 = (2 * 36 + 13)/36 = 85/36
Rewrite the equation with the converted fractions. х / 85/36 = (27/85) / (1/4)
Invert the second fraction (1/4) and change the division operation to multiplication. х / 85/36 = (27/85) * (4/1)
Simplify the fractions before multiplying. х / 85/36 = (27 * 4) / (85 * 1) = 108/85
Multiply both sides of the equation by the reciprocal of 85/36 to isolate х. х = (108/85) * (36/85) = (108 * 36) / (85 * 85) = 3888 / 7225

Therefore, х = 3888/7225.

Question 2

х : 2 13/36 = 27/85 : 1/4

Answer

To solve the equation х : 2 13/36 = 27/85 : 1/4, we need to perform the following steps: 1. Convert the mixed number 2 13/36 into an improper fraction. 2 13/36 = (2 * 36 + 13)/36 = 85/36 2. Rewrite the equation with the converted fractions. х / 85/36 = (27/85) / (1/4) 3. Invert the second fraction (1/4) and change the division operation to multiplication. х / 85/36 = (27/85) * (4/1) 4. Simplify the fractions before multiplying. х / 85/36 = (27 * 4) / (85 * 1) = 108/85 5. Multiply both sides of the equation by the reciprocal of 85/36 to isolate х. х = (108/85) * (36/85) = (108 * 36) / (85 * 85) = 3888 / 7225 Therefore, х = 3888/7225.