HotelInfantesAgres - Bawat tanong, may sagot. Logo

In Math / Elementary School | 2025-07-22

Ella bought 4/5 kg of watermelon and 9/12 kg
of pamkin, how many
kilo granms did she buy in all?

Asked by niniabalbagon9641

Answer (1)

Here's how to solve the problem:Step 1: Convert fractions to a common denominatorTo add the weights, we need a common denominator for the fractions 4/5 and 9/12. The least common multiple of 5 and 12 is 60.  So we convert the fractions:[tex]$\sf{\frac{4}{5} = \frac{(4 \times 12) }{ (5 \times 12)} = \frac{48}{60}}$[/tex][tex]$\sf{\frac{9}{12} = \frac{(9 \times 5)}{ (12 \times 5)} = \frac{45}{60}}$[/tex]Step 2: Add the weightsNow we add the weights:[tex]$\sf{\frac{48}{60} kg + \frac{45}{60} kg = \frac{93}{60} kg}$[/tex]Step 3: Simplify the fraction (if possible)This fraction can be simplified by dividing both numerator and denominator by their greatest common divisor, which is 3:[tex]$\sf{\frac{93}{60} = \frac{(\frac{93}{3})}{ \frac{60}{3}} = \frac{31}{20} kg}$[/tex]Step 4: Converting improper fraction into mixed fractionTo express the improper fraction 31/20 as a mixed fraction, we perform the division:31 ÷ 20 = 1 with a remainder of 11Therefore, the mixed fraction is [tex]$\sf{1\frac{11}{20}}$[/tex]Final answer:Ella bought a total of [tex]$\sf{1\frac{11}{20}}$[/tex] kg  of watermelon and pumpkin.

Answered by PrincessUmbriel | 2025-07-23