Question

Ron bought two baskets of tomatoes. He found that there were some rotten tomatoes in both baskets. The fraction of good tomatoes is mentioned on each basket.
What fraction of good tomatoes does he have from both the baskets?

• A. $\frac{86}{100}$
• B. $\frac{51}{30}$
• C. $\frac{86}{60}$
• D. $\frac{80}{100}$

Answer 1

The correct option is B $\frac{51}{30}$

Good tomatoes in Basket 1 = $\frac{54}{60}$

Good tomatoes in Basket 2 = $\frac{32}{40}$

Fraction of total good tomatoes = $\frac{54}{60}$ + $\frac{32}{40}$

The two fractions are unlike fractions. To add unlike fractions, we have to convert them into like fractions.
Let's find their LCM.
LCM(60, 40) = 120

$\frac{54}{60}$ × $\frac{2}{2}$ = $\frac{108}{120}$

$\frac{32}{40}$ × $\frac{3}{3}$ = $\frac{96}{120}$

Now that they both have the same denominator, we can add them.
$\frac{108}{120}$ + $\frac{96}{120}$

= $\frac{108+96}{120}$

= $\frac{204}{120}$

Converting the fraction into its simplest form:

$\frac{204}{120}$ = $\frac{51}{30}$

Hence, Ron has $\frac{51}{30}$ good apples.