The problem asks us to simplify the fraction $\frac{56}{70}$ to its lowest terms.

1. Problem Description

The problem asks us to simplify the fraction $\frac{56}{70}$ to its lowest terms.

2. Solution Steps

To simplify a fraction to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator and the denominator, and then divide both the numerator and the denominator by the GCD.

First, let's find the prime factorization of 56 and

7

0.

$56 = 2 \times 2 \times 2 \times 7 = 2^3 \times 7$

$70 = 2 \times 5 \times 7$

The common prime factors are 2 and

7. The GCD of 56 and 70 is $2 \times 7 = 14$.

Now, we divide both the numerator and denominator by 14:

$\frac{56}{70} = \frac{56 \div 14}{70 \div 14} = \frac{4}{5}$

3. Final Answer

The fraction $\frac{56}{70}$ in its lowest terms is $\frac{4}{5}$.