Question

162/57 in lowest terms is:

a) 54/19

b) 18/19

c) 6/19

d) 9/19

Answer 1

Introduction

Hello, I'm Galaxy and I'll be helping you today.

Solution

This problem is rather simple; here's how you would go about: First of all, we can see that all of our options (A-D) have 19 as the denominator. Looking at that, we can figure out that we've reduced by 3 on both top and bottom as
`19 * 3 = 57`.

Since we divided by 3 on the bottom, we must also divide 3 from the top. Doing this will give us our answer:

`(162)/(57) = (162/3)/(57/3) = (54)/(19)`

Our answer is
`(54)/(19)`.

Cheers, Galaxy.

Answer 2

To find the lowest terms of a fraction, divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 162 and 57 is 24. Dividing both by 24 gives 6/19 as the lowest terms of the fraction.

Step-by-step explanation:

To find the lowest terms of a fraction, we need to simplify the numerator and denominator so that they have no common factors other than 1.

For 162/57, we can simplify by dividing both the numerator and denominator by their greatest common divisor (GCD).

To find the GCD, we can use prime factorization:

1. Prime factorize 162: 2 × 3 × 3 × 3 × 3 = 2 × 34
2. Prime factorize 57: 3 × 3 × 3 × 2 = 33 × 2

The GCD is 33 × 2 = 24.

Dividing both the numerator and denominator by 24, we get:

162/57 = (162 ÷ 24)/(57 ÷ 24) = 6/19

Therefore, 162/57 in lowest terms is 6/19, so the correct answer is option c).