14/7 divided by 4/10 reduced to lowest terms

(14/7) / (4/10)

(14/7) * (10/4) = 140/28 = 5

Waht is 14/7 * 10/4?

To divide fractions, you need to follow these steps:

1. Invert the second fraction (the divisor). Simply swap the numerator and the denominator.
So, 4/10 becomes 10/4.

2. Multiply the first fraction (the dividend) by the inverted second fraction (the divisor).
14/7 multiplied by 10/4.

Numerator: 14 * 10 = 140.
Denominator: 7 * 4 = 28.

Therefore, the result of the division is 140/28.

3. Reduce the fraction to its lowest terms. Find the greatest common divisor (GCD) of the numerator and denominator, and divide both by the GCD.
In this case, the GCD of 140 and 28 is 28.

Numerator: 140 ÷ 28 = 5.
Denominator: 28 ÷ 28 = 1.

So, the reduced fraction is 5/1, which is equal to 5.

Therefore, 14/7 divided by 4/10 reduced to lowest terms is equal to 5.