Multiply: 1/2 x 1 3/5 x 2 7/9=
2 2/9
20/9
3 11/16
2 21/90
Correct Answer : A
First convert the mixed fractions into improper fractions as follows
1 3/5= \(\frac{\left(5\ast1\right)+3}{5}=\frac{5+3}{5}=\frac{8}{5}\)
2 7/9= \(\frac{\left(9\ast2\right)+7}{9}=\frac{18+7}{9}=\frac{25}{9}\)
Then, multiply the fractions
1/2 x 1 3/5 x 2 7/9= \(\frac{1}{2}\ast\frac{8}{5}\ast\frac{25}{9}=\frac{20}{9}\)
As a mixed fraction 20/9 becomes 2 2/9
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Related Questions
Correct Answer is D
Explanation
Use the relation, 1 gallon= 128 fluid ounces to convert between gallons and ounces. Then,
\(576\ fluid\ ounces\ast\frac{1\ gallon}{128\ fluid\ ounces}=4.5\ gallons\)
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 C
Explanation
The ratio 15:1000=X:100 can be written in proportion as:
\(\frac{15}{1000}=\frac{X}{100}\)
The value of X is determined by cross-products
\(15\ast100=1000X\)
\(1500=1000X\)
Divide both sides by 1000
\(\frac{1500}{1000}=\frac{1000X}{1000}\)
\(1.5=X\)
Thus, the value of X is 1.5
Correct Answer is C
Explanation
Convert the mixed fractions into improper fractions as:
\(7 7/10=\frac{\left(10\ast7\right)+7}{10}=\frac{70+7}{10}=\frac{77}{10}\)
\(3 4/5=\frac{\left(5\ast3\right)+4}{5}=\frac{15+4}{5}=\frac{19}{5}\)
Now, subtract the improper fractions as:
\(77/10-19/5=(77-19(2))/10=(77-38)/10=39/10\)
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