776÷ (1/4 + 1/5)
776÷ (1/4 + 1/5)
1/4 = 5/20
1/5 = 4/20
776 / (9/20)
776 * (20/9) = 15520/9 = 1,724.4444
To solve the given expression 776 ÷ (1/4 + 1/5), we first need to simplify the expression inside the parentheses.
The expression inside the parentheses can be simplified by finding the common denominator. The denominators are 4 and 5, so the common denominator is 20.
So, we rewrite the expression as:
776 ÷ (5/20 + 4/20)
Now that the fractions have the same denominator, we can combine them by adding the numerators while keeping the denominator the same:
776 ÷ (9/20)
To divide by a fraction, we multiply by its reciprocal. The reciprocal of 9/20 is 20/9.
So, now we have:
776 × (20/9)
Multiplying the numerator and the denominator:
776 × 20 = 15,520
9
Therefore, the simplified expression is 15,520 ÷ 9.
Using long division, we can solve this further:
┌─────────
9 │ 15520
- 9
-----
55
54
----
10
9
--
10
9
--
1
The result of dividing 15,520 by 9 is 1,733 with a remainder of 1.
So, 776 ÷ (1/4 + 1/5) equals 1,733 remainder 1.