Question

5 1/7- 3,6= 5 17/20+ 0,4=

Answer 1

Ответ:

$\frac{54}{35}$

$\frac{25}{4}$

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Answer 2

Let's solve the given expressions step by step:

1. 5 1/7 - 3.6:

To subtract mixed numbers, we first need to convert them to improper fractions.

5 1/7 = (7 * 5 + 1) / 7 = 36/7 3.6 = 3 + 6/10 = 3 + 3/5 = (5 * 3 + 3) / 5 = 18/5

Now, we can perform the subtraction:

36/7 - 18/5

To subtract fractions, they must have the same denominator. The common denominator for 7 and 5 is 35.

(36/7)(5/5) - (18/5)(7/7) = (180/35) - (126/35)

Now, subtract the fractions:

180/35 - 126/35 = (180 - 126) / 35 = 54/35

Now, let's convert the improper fraction back to a mixed number:

54/35 = 1 19/35

So, the result of the first expression is 1 19/35.

2. 5 17/20 + 0.4:

Again, we convert the mixed number to an improper fraction:

5 17/20 = (20 * 5 + 17) / 20 = 117/20 0.4 = 4/10 = 2/5

Now, we can perform the addition:

117/20 + 2/5

To add fractions, they must have the same denominator. The common denominator for 20 and 5 is 20.

(117/20) + (2/5)*(4/4) = (117/20) + (8/20)

Now, add the fractions:

117/20 + 8/20 = (117 + 8) / 20 = 125/20

Now, let's convert the improper fraction back to a mixed number:

125/20 = 6 5/20

Simplify the fraction (divide numerator and denominator by their greatest common divisor, which is 5):

6 5/20 = 6 1/4

So, the result of the second expression is 6 1/4.

Therefore, the final answers are:

1. 5 1/7 - 3.6 = 1 19/35
2. 5 17/20 + 0.4 = 6 1/4