Question

rodrigo practiced playing guitar 15 1/3 hours over the past 3 weeks he practiced for 6 1/4 hours during the first week and 4 2/3 hours during the second week how much time did rodrigo spend practicing during the third week

Answer 1

We want to know how much time was spent practicing the guitar in week #3. We know the time in week #1 and week #2 and the total time. So, the amount of time in week #1 and week # 2 and week #3 will equal the total time. In a math sentence with all the practice times,

week 1 + week 2 + week 3 = total

$6\frac{1}{4} + 4\frac{2}{3} + ? = 15\frac{1}{3}$

? here represents what you don't know - and you could (if this were an algebra class) make that x. Our goal is to get the ? thing alone on one side and all the stuff on the other side.

$6\frac{1}{4} + 4\frac{2}{3} + ? = 15\frac{1}{3}$

$6\frac{3}{12} + 4\frac{8}{12} + ? = 15\frac{4}{12}$ by getting common demonimators. The lowest common denominator, or LCD, is 12.

$10\frac{11}{12} + ? = 15\frac{4}{12}$ by combining fraction parts with fraction parts and whole numbers with whole numbers

$? = 15\frac{4}{12} - 10\frac{11}{12}$ by subtracting $10\frac{11}{12} [\tex] from both sides

[tex] ? = 14\frac{16}{12} - 10\frac{11}{12}$ by rewriting and borrowing from the whole number column and one being twelve over twelve.

$? = 4\frac{5}{12}$ by subtracting whole numbers from whole numbers and fractions from fractions

Therefore, he spent $4\frac{5}{12}$ hours practicing.