Question

(23/30-41/60)+(47/60-16/30) =?

Answer 1

Ответ:

(23/30-41/60)+(47/60-16/30) =1/3

1) 23/30-41/60=(46-41)/60=1/12

2)47/60-16/30=(47-32)/60=15/60=1/4

3) 1/12+1/4=(1+3)/12=4/12=1/3

ОТВЕТ: 1/3.

Answer 2

To simplify the expression (23/30 - 41/60) + (47/60 - 16/30), follow these steps:

1. Find a common denominator for each pair of fractions.

For the first pair, the common denominator is 60, so you need to rewrite 23/30 as an equivalent fraction with a denominator of 60: (23/30) * (2/2) = 46/60

For the second pair, the common denominator is already 60.

Now, the expression becomes:

(46/60 - 41/60) + (47/60 - 16/30)

2. Subtract the fractions with the same denominator:

(46/60 - 41/60) = 5/60

(47/60 - 16/30) = 47/60 - 32/60 = 15/60

3. Now, you can add the simplified fractions:

(5/60) + (15/60) = (5 + 15)/60 = 20/60

4. Reduce the fraction to its simplest form by dividing both the numerator and denominator by their greatest common divisor, which is 20:

(20/60) ÷ (20/20) = 1/3

So, the simplified result of the expression (23/30 - 41/60) + (47/60 - 16/30) is 1/3.