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 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 A
Explanation
Use the relation 1 gallon =128 ounce to change 3 gallons to ounces as follows
\(3\ gallons\ast\frac{128\ ounces}{1\ gallon}=384\ ounces\)
Thus, 3 gallons is equal to 384 oz.
Correct Answer is C
Explanation
In this case we use the relation 1 mL=500 mg to find mLs in 1.5 grams as follows. Note that 1 g=1000 mg. Then,
\(1.5\ g\ast\frac{1mL}{500mg}\ast\frac{1000mg}{1g}=3\ mL\)
Correct Answer is D
Explanation
First step is to find the least common divisor of denominators 3, 6, and 5 which is 30. Then
\(\frac{2}{3}+\frac{1}{6}+\frac{2}{5}=\frac{2\left(10\right)+5+2\left(6\right)}{30}\)\(=\frac{20+5+12}{30}=\frac{37}{30}=1\frac{7}{30}\)
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