-2 ( X + 3 ) = Show work please or explanations
1 answer:
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Answer:
The least common denominator of the fractions is 24
Step-by-step explanation:
we know that
The <u>least common denominator</u> (LCD) is the smallest number that can be a common denominator for a set of fractions
so
we have
7/8
Multiples of 8 -------> 8,16,24,32,...
5/6
Multiples of 6 -------> 6,12,18,24,...
24 is a common multiple of 6 and 8. It is their lowest common multiple
<em>Alternative Method</em>
we have
The least common multiple are those common and non-common numbers with the greatest exponent
so
<h3>Given:</h3>
The ratio of number of girls and boys in a class of 30 students is 7:8
<h3>To Find:</h3>The ratio of number of girls and boys if 5 new boys admit in the class.
<h3>Assumption:</h3>Let the number of students be x.
<h3>Solution:</h3>According to the question,
7x + 8x = 30
or, 15x = 30
or, x =
or, x = 2
7x = 7(2) = 14
8x = 8(2) = 16
There were 14 boys and 16 girls in the school.
After admitting 5 new boys, we get
14 + 5 = <u>19</u>
The ratio of number of girls and boys now is 16:19.
<h2>Answer:</h2><u>1</u><u>6</u><u>:</u><u>1</u><u>9</u>