Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.

Question

konstantin123 [22]

3 years ago

8

Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.

How many hours has Carlos practiced piano?

Mathematics

2 answers:

Nonamiya [84] · Answer 1 · 2021-12-18T00:08:13+03:00

He practiced the piano for 1 hour 45 minutes or $1\frac{9}{20}$

Hour he used for practicing before school = $\frac{3}{4}$
Hour he used for practicing when he gets home = $\frac{7}{10}$

<h2>Further Explanation</h2>

To determine how many hours he practiced piano in total, the hour he used for practicing before school (3/4) will be added to the hour he used for practicing when he gets home (7/10). The resulting value will be the overall hours he used for practicing.

Since the values to be added are fractions, let’s look for the lowest common denominator (LCD) between the two denominators (4 and 10).

LCD of 4 and 10 = 20

Therefore,

= $\frac{3}{4}$ + $\frac{7}{10}$

= (5 x 3) + (2 x 7) / 20

= (15) + (14) / 20

= 15 + 14 / 20

= $\frac{19}{20}$

= $1\frac{9}{20}$

Since the answer needs to be converted to hours, therefore,

= $1\frac{9}{20}$

= 1.45 which can be expressed as 1 hour 45 minutes.

Therefore, Carlos has practiced piano for 1 hour 45 minutes.

The above given expression is a practical math problem, and it deals with fraction. Fraction always has a numerator and a denominator. And in this case, the lowest common denominators were factored out, and then multiplied by the numerators. The resulting values were added together to derive the final solution to given math problem.

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