Question

Обчисліть 2 1/4 × 3/7 + 2 1/4 ⋅ 4/7 ⁣╱╱┏╮╱╱╱╱╱╱╱╱╱╱ ╱╱┃┃╱╱┳╱┓┳╭┛┳┓ ▉━╯┗━╮┃╱┃┣┻╮┣╱ ▉┈┈┈┈┃┻┛┛┻╱┗┗┛ ▉╮┈┈┈┃▔▔▔▔▔▔▔▔ ╱╰━━━╯

Answer 1

Ответ:

$\\2 \times \frac{1}{4} \times \frac{3}{7} + 2 \times \frac{1}{4} \times \frac{4}{7} = \frac{27}{28} + 1 \times \frac{2}{7} = 2 \times \frac{1}{4} = 2.25$

Answer 2

To calculate the expression 2 1/4 × 3/7 + 2 1/4 × 4/7, we can follow these steps:

Step 1: Convert the mixed numbers to improper fractions. 2 1/4 can be written as (2 × 4 + 1)/4 = 9/4. 2 1/4 × 3/7 = (9/4) × (3/7).

Step 2: Multiply the numerators and denominators. (9/4) × (3/7) = (9 × 3)/(4 × 7) = 27/28.

Step 3: Convert the result back to a mixed number. 27/28 can be written as 1 3/28.

Step 4: Repeat the steps for the second part of the expression. 2 1/4 × 4/7 = (9/4) × (4/7) = (9 × 4)/(4 × 7) = 36/28 = 1 8/28 = 1 2/7.

Step 5: Add the two results together. 1 3/28 + 1 2/7 = (1 × 28 + 3)/28 + (1 × 7 + 2)/7 = 31/28 + 9/7.

Step 6: Find a common denominator and add the fractions. The common denominator is 28 × 7 = 196. 31/28 + 9/7 = (31 × 7)/(28 × 7) + (9 × 28)/(7 × 28) = 217/196 + 252/196 = 469/196.

Step 7: Simplify the fraction, if possible. 469/196 can be simplified to 2 77/196.

Therefore, the result of the expression 2 1/4 × 3/7 + 2 1/4 × 4/7 is 2 77/196.

Please note that the provided answer is based on the calculations performed.