Question

(1 1/4 - 2 1/2 * 3/5 ): 4/5

Answer 1

1)2 1/2 × 3/5=3/2
2)11/4 - 3/2= 5/4
3)5/4 ÷ 4/5=25/16=1 9/16

Answer 2

To solve the expression (1 1/4 - 2 1/2 * 3/5) ÷ 4/5, let's break it down step by step.

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

1 1/4 - 2 1/2 * 3/5

To subtract mixed numbers, we need to convert them to improper fractions:

1 1/4 = (4/4 + 1/4) = 5/4

2 1/2 = (2/2 + 1/2) = 5/2

Now we can substitute these values back into the expression:

(5/4 - 5/2 * 3/5)

Next, let's simplify the multiplication:

5/2 * 3/5 = (5 * 3) / (2 * 5) = 15/10 = 3/2

Now we have:

(5/4 - 3/2)

To subtract fractions, we need a common denominator. The least common multiple (LCM) of 4 and 2 is 4. Therefore, we need to convert 3/2 to have a denominator of 4:

3/2 = (3/2) * (2/2) = 6/4

Now we have:

(5/4 - 6/4)

Subtracting the fractions:

(5/4 - 6/4) = (-1/4)

Now we have:

(-1/4)

Finally, let's divide by 4/5:

(-1/4) ÷ (4/5)

Dividing by a fraction is the same as multiplying by its reciprocal, so we can rewrite the expression as:

(-1/4) * (5/4)

Multiplying the fractions:

(-1/4) * (5/4) = (-5/16)

Therefore, the result of the expression (1 1/4 - 2 1/2 * 3/5) ÷ 4/5 is -5/16.