Question

2 5/8×(5/7-3/5)-9:2 1/4

Answer 1

Ответ:

Подробное решение по действиям на фото! Успехов!

Answer 2

To solve the expression 2 5/8 × (5/7 - 3/5) - 9 ÷ 2 1/4, we need to follow the order of operations (PEMDAS/BODMAS).

First, let's simplify the expression within the parentheses:

5/7 - 3/5 = (25/35) - (21/35) = 4/35

Now, we can substitute this value back into the original expression:

2 5/8 × (4/35) - 9 ÷ 2 1/4

Next, let's convert all the mixed numbers into improper fractions:

2 5/8 = (2 × 8 + 5) / 8 = 21/8 2 1/4 = (2 × 4 + 1) / 4 = 9/4

Substituting the values, we have:

21/8 × (4/35) - 9 ÷ 9/4

To multiply fractions, multiply the numerators and multiply the denominators:

(21/8) × (4/35) = (21 × 4) / (8 × 35) = 84/280

Now let's simplify the division:

9 ÷ (9/4) = (9 × 4) / 9 = 36/9 = 4

Substituting the simplified values, the expression becomes:

84/280 - 4

To subtract fractions, find a common denominator:

84/280 - 4 = 84/280 - (4 × 280/280) = 84/280 - 1120/280 = (84 - 1120) / 280 = -1036/280

Finally, simplify the fraction:

-1036/280 = -259/70

So, the expression 2 5/8 × (5/7 - 3/5) - 9 ÷ 2 1/4 is equal to -259/70.