I am having trouble understanding how to reduce fractions to its lowest term...

All I can understand is I have to find the lowest number that will divide into both numerator and denominator.

How do I understand the solution on how to reduce fractions to its lowest terms?

Here is one In my book that even explains it but I still don't understand it.

Reduce this.
70/155

I know the answer is 14/31 but how do I get the answer?

One way to reduce fractions is to start with a small number.

I know that 155 and 70 is divisible by 5 because they end in 0 or 5.

70/155 = 14/31

okay, you can divide them both by 5,

getting 14/31 that is all

how do u turn 41 over 16 unitl a mixed faction

Reducing fractions to their lowest terms involves finding the greatest common divisor (GCD), also known as the greatest common factor (GCF), of the numerator and denominator.

In the example you provided, 70/155, we need to find the GCD of 70 and 155.

One way to find the GCD is to list out the factors of both numbers and identify their common factors. However, this can be time-consuming and inefficient for larger numbers.

An easier and more efficient method to find the GCD is to use prime factorization.

Step 1: Prime factorize the numerator (70) and the denominator (155).

70 = 2 * 5 * 7
155 = 5 * 31

Step 2: Identify the common prime factors between the numerator and denominator.

The only common prime factor is 5.

Step 3: Multiply the common prime factors to find the GCD.

GCD = 5.

Step 4: Divide both the numerator and the denominator by the GCD.

70 ÷ 5 = 14
155 ÷ 5 = 31

So, the reduced fraction is 14/31.

To summarize:
1. Prime factorize the numerator and the denominator.
2. Identify the common prime factors.
3. Multiply the common prime factors to find the GCD.
4. Divide both the numerator and denominator by the GCD to obtain the reduced fraction.

I hope this explanation helps you understand how to reduce fractions to their lowest terms!