Question

2/5 +1 3/5 +2 3/14 решить

Answer 1

Пошаговое объяснение:

$\frac{2}{5} + 1 \times \frac{3}{5} + 2 \times \frac{3}{14} = \frac{2}{5} + \frac{8}{5} + \frac{31}{14} = \frac{2 + 8}{5} + \frac{31}{14} = \frac{10}{5} + \frac{31}{14} = 2 + \frac{31}{14} = \frac{28 + 31}{14} = \frac{59}{14}$ = 4 3/14

Answer 2

To solve the given expression, we need to perform addition with fractions and whole numbers. Let's break it down step by step:

2/5 + 1 3/5 + 2 3/14

Step 1: Convert the mixed numbers to improper fractions. 1 3/5 = (5 × 1 + 3) / 5 = 8/5 2 3/14 = (14 × 2 + 3) / 14 = 31/14

Step 2: Find a common denominator for all fractions involved. The common denominator can be obtained by finding the least common multiple (LCM) of the denominators 5 and 14. The LCM of 5 and 14 is 70.

Step 3: Convert all fractions to have the common denominator of 70. 2/5 = (2 × 14) / (5 × 14) = 28/70 8/5 = (8 × 14) / (5 × 14) = 112/70 31/14 remains the same since the denominator is already 14.

Step 4: Perform the addition. Adding all the fractions: 28/70 + 112/70 + 31/14

Step 5: Combine the numerators and keep the common denominator. (28 + 112 + 31) / 70 = 171/70

Step 6: Simplify the fraction if possible. The fraction 171/70 cannot be simplified further, so it remains as 171/70.

Therefore, the solution to the given expression 2/5 + 1 3/5 + 2 3/14 is 171/70.