Answer:
[tex]1\frac{5}{12}[/tex] hours time did Ka spend practicing instrument on Monday
Step-by-step explanation:
As per the given statement:
On Monday she practiced guitar = 2/3 for one hour
When she finished,
she practiced piano = 3/4 for one hour
We have to find time did Ka spend practicing instruments on Monday.
Time Ka spend practicing instruments on Monday = [tex]\frac{2}{3}+\frac{3}{4}[/tex]
Take LCM of 3 and 4 is 12
then;
Time Ka spend practicing instruments on Monday =[tex]\frac{8+9}{12}=\frac{17}{12}= 1\frac{5}{12} \text{hours}[/tex]
Ka spent practicing instruments on monday : [tex]\displaystyle 1\frac{5}{12}[/tex] hour
Fraction numbers are known as numerator and denominator
On a number line, fractions are expressed in points that lie between two integers
The general form of fractions is
[tex]\large{\boxed{\bold{\frac{a}{b}} }[/tex]
a = numerator
b = denominator
Mixed fractions consist of whole number and ordinary fractions
There are a number of steps in adding fraction operations
a. Multiply top and bottom of each fraction by the denominator of the other. or
b. we can use Least Common Denominator is
the smallest of all the common denominators.
Ka practiced [tex]\frac{2}{3}[/tex] for guitar and [tex]\frac{3}{4}[/tex] for piano
so total Ka practicing instrument:
=[tex]\frac{2}{3}+\frac{3}{4}[/tex]
Because the denominator is not the same, so we can use both multiplying or least common denominator.
let we use least common denominator:
List multiples of 3: 3, 6, 9, 12, 15, 18, 21...
List multiples of 4: 4, 8, 12, 16, 20, ...
the smallest number that is the same: = 12
then addition operation becomes :
[tex]\displaystyle =\frac{8}{12}+\frac{9}{12}=\frac{17}{12}[/tex]
as mixed fraction :
[tex]\displaystyle \frac{17}{12}=1\frac{5}{12}[/tex]
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Keywords: fraction, guitar, piano, practiced, instrument
