Question

It takes Evan 6 3/4 to mow 3 lawns. It takes 2 1/3 hours to mow me. Gals lawn and 1 3/4 hot mow Ms. Lee’s lawn. How many hours does it take Evan to mow the third lawn?

Answer 1

Answer:

It takes Evan $2\frac{2}{3}\ hours$  to mow the third lawn

Step-by-step explanation:

Given that:

• It takes Evan 6 3/4 to mow 3 lawns

<=> $6\frac{3}{4}=\frac{27}{4}\ \text{hours}$

• It takes 2 1/3 hours to mow Mr. Gals lawn (first lawn)

<=> $2\frac{1}{3}=\frac{7}{3}\ \text{hours}$

• It takes 1 3/4 hot mow Ms. Lee’s lawn (second lawn)

<=> $1\frac{3}{4}=\frac{7}{4}\ \text{hours}$

Now,Time taken by Evan to mow the third lawn

$=\frac{27}{4}-\frac{7}{3}-\frac{7}{4}$

= $\frac{81-28-21}{12}$

= $\frac{32}{12} = \frac{8}{3}$

= $2\frac{2}{3}\ hours$

It takes Evan $2\frac{2}{3}\ hours$  to mow the third lawn

Answer 2

Answer:

It takes 2 2/3 hours Evan to mow the third lawn

Step-by-step explanation:

Hours: t

$t=6\frac{3}{4}-2\frac{1}{3}-1\frac{3}{4}\\ t=\frac{6(4)+3}{4}-\frac{2(3)+1}{3}-\frac{1(4)+3}{4}\\ t=\frac{24+3}{4}-\frac{6+1}{3}-\frac{4+7}{4}\\ t=\frac{27}{4}-\frac{7}{3}-\frac{7}{4}\\ t=\frac{27}{4}-\frac{7}{4}-\frac{7}{3}\\ t=\frac{27-7}{4}-\frac{7}{3}\\ t=\frac{20}{4}-\frac{7}{3}\\ t=5-\frac{7}{3}\\ t=5.\frac{3}{3}-\frac{7}{3}\\ t=\frac{5(3)}{3}-\frac{7}{3}\\ t=\frac{15}{3}-\frac{7}{3}\\ t=\frac{15-7}{3}\\ t=\frac{8}{3}\\ t=\frac{6+2}{3}\\ t=\frac{6}{3}+\frac{2}{3}$

$t=2+\frac{2}{3}\\ t=2\frac{2}{3}$