Question

(3/8 + 1 1/20 *2 1/7) *1 1/3 (Полное решение)

Answer 1

Ответ:

3.5 или 3 1/2

Пошаговое объяснение:

(3/8+1 1/20×2 1/7)×1 1/3=3.5 или 3 1/2

1. 1 1/20×2 1/7=21/20×15/7=9/4
2. 3/8+9/4=3/8+18/8=21/8
3. 21/8×1 1/3=21/8×4/3=7/2=3.5 или 3 1/2

Answer 2

To solve the given expression (3/8 + 1 1/20 * 2 1/7) * 1 1/3, we'll break it down into smaller steps and simplify each part.

Step 1: Simplify the multiplication inside the parentheses 1 1/20 * 2 1/7

To multiply these mixed numbers, we need to convert them to improper fractions: 1 1/20 = (20 + 1)/20 = 21/20 2 1/7 = (7*2 + 1)/7 = 15/7

Now we can multiply: (21/20) * (15/7)

To multiply fractions, multiply the numerators and denominators: (21 * 15)/(20 * 7) = 315/140

Step 2: Simplify the addition outside the parentheses 3/8 + 315/140

To add these fractions, we need a common denominator. The least common multiple (LCM) of 8 and 140 is 280.

Multiplying the numerator and denominator of the first fraction by 35: (3 * 35)/(8 * 35) = 105/280

Multiplying the numerator and denominator of the second fraction by 2: (315 * 2)/(140 * 2) = 630/280

Now we can add the fractions: 105/280 + 630/280 = (105 + 630)/280 = 735/280

Step 3: Simplify the multiplication by 1 1/3 735/280 * 1 1/3

To multiply a fraction by a mixed number, we convert the mixed number to an improper fraction: 1 1/3 = (3*1 + 1)/3 = 4/3

Now we can multiply: (735/280) * (4/3)

To multiply fractions, multiply the numerators and denominators: (735 * 4)/(280 * 3) = 2940/840

Step 4: Simplify the resulting fraction 2940/840

We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 60. (2940 ÷ 60) / (840 ÷ 60) = 49/14

Therefore, the simplified expression (3/8 + 1 1/20 * 2 1/7) * 1 1/3 is equal to 49/14.