Becky combined $$ 12 \frac{2}{3} $$ ounces of blue wax and $$ 15 \frac{2}{5} $$ ounces of yellow wax to make a green candle. How many ounces of green wax did Becky make?

Question

UpStudy AI · Accepted Answer

1. Convert the mixed numbers to improper fractions:
   - For $$12 \frac{2}{3}$$:
     $$
     12 \frac{2}{3} = \frac{12 \times 3 + 2}{3} = \frac{36 + 2}{3} = \frac{38}{3}
     $$
   - For $$15 \frac{2}{5}$$:
     $$
     15 \frac{2}{5} = \frac{15 \times 5 + 2}{5} = \frac{75 + 2}{5} = \frac{77}{5}
     $$

2. Find a common denominator and add the fractions:
   - The least common denominator of $$3$$ and $$5$$ is $$15$$.
   - Convert each fraction:
     $$
     \frac{38}{3} = \frac{38 \times 5}{3 \times 5} = \frac{190}{15}
     $$
     $$
     \frac{77}{5} = \frac{77 \times 3}{5 \times 3} = \frac{231}{15}
     $$
   - Add the fractions:
     $$
     \frac{190}{15} + \frac{231}{15} = \frac{190 + 231}{15} = \frac{421}{15}
     $$

3. Convert the improper fraction to a mixed number:
   - Divide $$421$$ by $$15$$:
     $$
     15 \times 28 = 420 \quad \text{with a remainder of } 1
     $$
   - Thus,
     $$
     \frac{421}{15} = 28 \frac{1}{15}
     $$

Becky made $$28 \frac{1}{15}$$ ounces of green wax.
Becky made $$28 \frac{1}{15}$$ ounces of green wax.

Becky combined ounces of blue
wax and ounces of yellow wax
to make a green candle. How many
ounces of green wax did Becky
make?

Solución de inteligencia artificial de Upstudy

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Arithmetic Questions

Becky combined ounces of blue wax and ounces of yellow wax to make a green candle. How many ounces of green wax did Becky make?