Question

Решение 7-3/8 решение 10-3 7/15

Answer 1

1) 7-3/8=6 5/8
2) 10-3 7/15=6 8/15

Answer 2

To solve this expression, we need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (performed from left to right), and Addition and Subtraction (also performed from left to right).

Let's start with the second part of the expression:

10 - 3 7/15

We need to first perform the division before the subtraction. To do this, we can convert the mixed number 3 7/15 to an improper fraction:

3 7/15 = (3 × 15 + 7) / 15 = 52/15

So the expression becomes:

10 - 52/15

To subtract fractions, we need to have a common denominator. The smallest common multiple of 15 is 15 itself. Therefore, we can convert the whole number 10 to a fraction with a denominator of 15:

10 = 10/1 = 150/15

Now the expression becomes:

150/15 - 52/15

We can combine these two fractions by subtracting their numerators while keeping the common denominator:

(150 - 52) / 15 = 98/15

So the second part of the expression simplifies to 98/15.

Now let's move on to the first part of the expression:

7 - 3/8

We can convert the mixed number 3/8 to an improper fraction:

3/8 = 0.375

So the expression becomes:

7 - 0.375

Subtracting the decimal values, we get:

6.625

Finally, we can subtract the value we found for the second part of the expression from the value we found for the first part:

6.625 - 98/15

To subtract a decimal from a fraction, we need to convert the decimal to a fraction with the same denominator as the fraction. The denominator of the fraction 98/15 is already 15, so we can convert 6.625 to a fraction with a denominator of 15:

6.625 = 6 5/8 = (6 × 8 + 5) / 8 = 53/8

Now the expression becomes:

53/8 - 98/15

To subtract fractions with different denominators, we need to find a common denominator. The smallest common multiple of 8 and 15 is 120. Therefore, we can convert both fractions to have a denominator of 120:

(53/8) × (15/15) = 795/120

(98/15) × (8/8) = 784/120

Now the expression becomes:

795/120 - 784/120

Subtracting the numerators, we get:

11/120

Therefore, the solution to the expression 7-3/8 ÷ 10-3 7/15 is 11/120.