Multiply: 7/16 x 2 2/7, reduced to lowest terms
2 9/23
5/9
2 14/112
1
Correct Answer : D
First convert the mixed fraction into improper fraction as follows
\(2 2/7=\frac{\left(2\ast7\right)+2}{7}=\frac{14+2}{7}=\frac{16}{7}\)
Then, multiply the fractions
7/16 x 2 2/7= \(\frac{\mathbf{7}}{\mathbf{16}}*\frac{\mathbf{16}}{\mathbf{7}}=1\)
16 cancels with 16 while 7 cancels with 7 and the result becomes 1.
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Related Questions
Correct Answer is A
Explanation
First convert 25% to decimal as
25%=25/100=0.25
Now, 0.25=0.25
Correct Answer is A
Explanation
0.004 as a fraction is
\(\frac{4}{1000}=\frac{1}{250}\)
In ratio form 1/250=1:250
Thus 0.004 as a ratio is 1:250.
Correct Answer is B
Explanation
The ratio 0.5:20=X:200 to proportion equation becomes
\(\frac{0.5}{20}=\frac{X}{200}\)
Cross-multiply to find the value of X
\(0.5\ast200=20X\)
\(100=20X\)
Divide both sides by 20 to find the value of X
\(\frac{100}{20}=\frac{20X}{20}\)
\(5=X\)
Thus, the value of X is 5.
Correct Answer is ["52"]
Explanation
First, determine the number of classes in a population of 6734 students
\(6734\ students\ast\frac{1\ class}{25\ students}=269.36\ classes\)
There are about 269 classes and if we assume 1 class to be represented by 1 teacher, then the number of teachers to be hired is:
Number of teachers to be hired=269-217=52 teachers
Thus, the school district will hire 52 teachers to supplement their staff of 217 teachers.
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