Multiply: 1/3 x 1 2/5 x 2 5/9=
2 2/9
20/9
2 11/135
1 26/135
Correct Answer : D
First convert the mixed fractions into improper fractions as follows
\(1 2/5=\frac{\left(5\ast1\right)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)
\(2 5/9=\frac{\left(9\ast2\right)+5}{9}=\frac{18+5}{9}=\frac{23}{9}\)
Then, multiply the fractions
\(1/3 x 1 2/5 x 2 5/9=\frac{1}{3}\ast\frac{7}{5}\ast\frac{23}{9}=\frac{161}{135}\)
As a mixed fraction 161/135 becomes
1 26/135
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Related Questions
Correct Answer is D
Explanation
A ration of the form a:b=c:d is converted to a proportion as
\(\frac{a}{b}=\frac{c}{d} \)
where band d are not equal to zero. Now applying the same concept to 7:10=140:X yields,
\(\frac{7}{10}=\frac{140}{X}\)
Find the value of X by cross-product
\(7X=140\ast10\)
Divide both sides by 7
\(\frac{7X}{7}=\frac{1400}{7} X=200 \)
Thus, the value of X is 200.
Correct Answer is D
Explanation
The proportion equation of the ratio 100:3=300:X is
\(\frac{100}{3}=\frac{300}{X}\)
ross-multiply to find the value of X
\(100X=3\ast300 100X=900 \)
Divide both sides by 100
\(\frac{100X}{100}=\frac{900}{100} X=9 \)
The value of X is 9
Correct Answer is D
Explanation
To add fractions, find the least common divisor of the denominators of 3 and 9, which is 9.
Then
\(\frac{1}{3}+\frac{5}{9}=\frac{1\left(3\right)+5(1)}{9}=\frac{3+5}{9}=\frac{8}{9} \)
Correct Answer is D
Explanation
First step is to find to convert the given fractions into approximate decimals as follows:
7/25=0.28
8/15=0.53
4/19=0.21
4/5=0.8
From the above, 0.8 is the largest value. Then, it follows that 4/5 is the largest number
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