Question

Cynthia completed 2/3 of the items on her to-do- list in the morning and finished 1/8 of the items during her lunch break. What fraction of her to-do list is finished by the end of her lunch break?

Answer 1

It would be 19/24 since you find a common denominator. You find won for 2/3 by multiplying the numerator and denominator by 8. You multiply the numerator ans demonitaor of 1/8 by 3. Then, you'll be able to easily add 16/24+3/24 to get 19/24.

Answer 2

The fraction of her to-do list by the end of her lunch break is 19/24.

Further Explanation

Items Cynthia completed on her to-do list in the morning is 2/3

The fraction of the Items she finished during lunch break is 1/8

To calculate the fraction of her to-do list, then we have to add both fractions together. This implies 2/3 + 1/8.

There are rules you have to follow when adding fractions together. Firstly you have to find the smallest number that divide both denominators (3 and 8), therefore 24 is the smallest number.

The smallest number that can divide both denominators is also known as the lowest common denominator or LCD.

Since we have 24 as the LCD, then what we have to do now is to divide both denominators with the LCD and multiply what you get with both numerator

This implies 2/3+1/8, which gives 16/24 +3/24

Therefore, the final answer is 19/24.

As you can see, we only add the numerators together, which implies 16 + 3 to gives 19 while the denominator remains 24.

Anytime you are faced with questions of this nature, firstly find the LCD (the smallest number that can divide both denominators and in case the denominators are very large, just multiply the two denominators together and reduces it if necessary.

LEARN MORE:

• fractions https://brainly.com/question/6201432

KEYWORDS:

• division
• multiplication
• denominator
• numerator
• smallest number