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Mathematics 22 Online
OpenStudy (katherinkoon):

will medal.

OpenStudy (katherinkoon):

OpenStudy (helpz-q):

What do you need help with?

OpenStudy (katherinkoon):

i'm not going to answer tht uestion

OpenStudy (helpz-q):

This is very simple actually. first you need to simplify 2 2/3

OpenStudy (helpz-q):

do you know how?

KjSaif (kjsaif):

^^

OpenStudy (jiteshmeghwal9):

no. of raisins needed for 1 recipe ----> 2 \(\frac{2}{3}\) no. of raisins needed for 1/2 of the recipe ----> \(\frac{1}{2} \times 2 \frac{2}{3}\)

OpenStudy (cmdrwinters):

All you need to do to answer this is multiply 1/2 * 2 2/3. \[\frac{ 1 }{ 2 } * 2\frac{ 2 }{ 3 } = 1 \frac{ 1 }{ 3 }\] One half of two and two-thirds is one and one-third. Half a recipe calls for 1 1/3 raisins. Hope that helped :)

OpenStudy (katherinkoon):

@KJSaif

KjSaif (kjsaif):

yes?

OpenStudy (katherinkoon):

help

OpenStudy (cmdrwinters):

You can enter the expression into a calculator, or you can do it manually. To do it by hand, it would be easiest to transform the mixed number into an improper fraction. To do that, you just have to multiply the whole number in the mixed number by the denominator in the fraction, and then add the resulting number to the numerator. \[2\frac{ 2 }{ 3 } = ?\] \[2 * 3 = 6\] \[6 + 2 = 8\] \[2\frac{ 2 }{ 3 } = \frac{ 8 }{ 3 }\] Now we can multiply the numerators and denominators by each other respectively. \[\frac{ 8 }{ 3 }*\frac{ 1 }{ 2 }=\frac{ 8*1 }{ 3*2 }=\frac{ 8 }{ 6 }\] From here, we can reduce. 6 goes into 8 once, with a remainder of 2. Whenever we perform this type of division when solving for a fraction, the quotient is the whole number, the dividend is the denominator, and the remainder is the numerator. \[\frac{ 8 }{ 6 }=1\frac{ 2 }{ 6 }\] 2/6 can be reduced, since both 2 and 6 are divisible by 2. 2 goes into 2 one time, and 2 goes into 6 three times, therefore: \[\frac{ 2 }{ 6 }=\frac{ 1 }{ 3 }\] So the finished answer is our previous answer of one and one-third. Hope that helped! :)

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