Question

15/16:3/8*3/4 .... (7_7/8-3_3/8):4_1/2 .... 2_4/9:(2/3-2/7) ... 124:(3_7/45-2/5)

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Let's solve these expressions step by step:

1. 15/16 ÷ 3/8 * 3/4: To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. 15/16 ÷ 3/8 = 15/16 * 8/3 = (15 * 8) / (16 * 3) = 120 / 48

Now, simplify 120/48: 120 ÷ 48 = 2.5

2. (7 7/8 - 3 3/8) ÷ 4 1/2: First, convert mixed numbers to improper fractions. 7 7/8 = (8 * 7 + 7) / 8 = 63/8 3 3/8 = (8 * 3 + 3) / 8 = 27/8 4 1/2 = (2 * 4 + 1) / 2 = 9/2

Now, subtract the fractions: (63/8 - 27/8) = 36/8 = 4.5

Now, divide by 4.5: 4.5 ÷ 4.5 = 1

3. 2 4/9 ÷ (2/3 - 2/7): First, convert the mixed number to an improper fraction. 2 4/9 = (9 * 2 + 4) / 9 = 22/9

Now, find the common denominator for (2/3 - 2/7), which is 21. (2/3 - 2/7) = (14/21 - 6/21) = 8/21

Now, divide: (22/9) ÷ (8/21) = (22/9) * (21/8) = (22 * 21) / (9 * 8) = 462 / 72

Now, simplify 462/72: 462 ÷ 72 ≈ 6.4167

4. 124 ÷ (3 7/45 - 2/5): First, convert the mixed number to an improper fraction. 3 7/45 = (45 * 3 + 7) / 45 = 136/45

Now, find the common denominator for (136/45 - 2/5), which is 45. (136/45 - 2/5) = (136/45 - 18/45) = 118/45

Now, divide: 124 ÷ (118/45) = 124 * (45/118) = (124 * 45) / 118 ≈ 47.1186

So, the results of the expressions are:

1. 15/16 ÷ 3/8 * 3/4 ≈ 2.5
2. (7 7/8 - 3 3/8) ÷ 4 1/2 = 1
3. 2 4/9 ÷ (2/3 - 2/7) ≈ 6.4167
4. 124 ÷ (3 7/45 - 2/5) ≈ 47.1186