Question

3/7:7 3/5:7/8 3/7:1 5/8 3 1/7:1 2 3/4:1 1/7

Answer 1

Ответ:

3/7*1/7=3/49

3/5*8/7=24/35

3/7*8/13=24/91

3 1/7

11/4*7/11=7/4=1 3/4

Answer 2

To solve the given expressions, let's calculate each of them step by step:

1. 3/7:7 To divide a fraction by a whole number, we can multiply the numerator of the fraction by the reciprocal of the whole number. The reciprocal of 7 is 1/7. (3/7) * (1/7) = (31) / (77) = 3/49

2. 3/5:7/8 To divide a fraction by another fraction, we can multiply the first fraction by the reciprocal of the second fraction. (3/5) * (8/7) = (38) / (57) = 24/35

3. 3/7:1 5/8 To divide a fraction by a mixed number, we need to convert the mixed number into an improper fraction. 1 5/8 = (1*8 + 5) / 8 = 13/8

Now, we can divide (3/7) by (13/8): (3/7) * (8/13) = (38) / (713) = 24/91

4. 1 2 3/4:1 1/7 To divide a mixed number by another mixed number, we need to convert both mixed numbers into improper fractions. 1 2 3/4 = (144 + 24 + 3) / 4 = 19/4 1 1/7 = (17 + 1) / 7 = 8/7

Now, we can divide (19/4) by (8/7): (19/4) * (7/8) = (197) / (48) = 133/32

Therefore, the simplified results are:

1. 3/7:7 = 3/49
2. 3/5:7/8 = 24/35
3. 3/7:1 5/8 = 24/91
4. 1 2 3/4:1 1/7 = 133/32