Question

Предварительно сократив дроби найдите значение выражения 14/24-15/40

Answer 1

14/24 - 15/40 = (2*7)/(2*2*2*3) - (3*5)/(2*2*2*5) = 7/(2*2*3) - 3/(2*2*2) = (7*2)/(2*2*2*3) - (3*3)/(2*2*2*3) = 14/24 - 9/24 = 5/24;

Answer 2

14/24-15/40=7/12-3/8=23/24

Answer 3

Simplifying Fractions

To find the value of the expression 14/24 - 15/40, we first need to simplify the fractions.

Let's start with the first fraction, 14/24. We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 14 and 24 is 2, so we can simplify the fraction as follows:

14/24 = (14 ÷ 2) / (24 ÷ 2) = 7/12.

Now let's simplify the second fraction, 15/40. The GCD of 15 and 40 is 5, so we can simplify the fraction as follows:

15/40 = (15 ÷ 5) / (40 ÷ 5) = 3/8.

Evaluating the Expression

Now that we have simplified fractions, we can evaluate the expression 7/12 - 3/8.

To subtract fractions, we need to have a common denominator. The least common multiple (LCM) of 12 and 8 is 24, so we can rewrite the fractions with a common denominator of 24:

7/12 = (7 × 2) / (12 × 2) = 14/24.

3/8 = (3 × 3) / (8 × 3) = 9/24.

Now we can subtract the fractions:

14/24 - 9/24 = (14 - 9) / 24 = 5/24.

Therefore, the value of the expression 14/24 - 15/40 is 5/24.