Question

Marie made lasagna for dinner. She ate 1/6 of it, Morris ate 1/3 of it, and Larry ate 1/4 of it. How much of the lasagna was left?

Answer 1

Answer:

1/12 of the lasagna was left

Step-by-step explanation:

To find out how much of the lasagna has been eaten, you have to find the least common denominator (LCD) for the three fractions. The LCD of 1/3, 1/4, and 1/6 is 12 (3x4x6). Now convert all the fractions so that all of their denominators is equal to 72 (1/3=4/12, 1/4=3/12, 1/6=2/12), then add all of the fractions together (4/12 + 3/12 +2/12 = 3/4). 3/4 of the lasagna has been eaten and the remaining lasagna is 1/12 (1-3/4=4/4-3/4).

Answer 2

Answer:

$\frac{1}{4}$ of the lasagna

Step-by-step explanation:

$\frac{1}{4} +\frac{1}{6}+ \frac{1}{3}$

4 = 2 × 2

3 = 3

6 = 2 × 3

LCM = 2 × 2 × 3

LCM = 12

4 × 3 × 6 = 72

$\frac{18}{72} +\frac{12}{72}+ \frac{24}{72}$

$\frac{18+12+24}{72}$

$\frac{54}{72}$

54 = 2 × 3 × 3 × 3

72 = 2 × 2 × 2 × 3 × 3

GCF = 2 × 3 × 3

GCF = 18

$\frac{\frac{54}{18} }{\frac{72}{18} }=\frac{3}{4}$

$1-\frac{3}{4}$

$\frac{4}{4} -\frac{3}{4}$

$\frac{4}{4} -\frac{3}{4}=\frac{1}{4}$