Solve 6 11 /12 − ( 2 4/ 16 + 3 2 /3 ) .
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Answers
Answer:
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Step-by-step explanation:
Conversion a mixed number 3 2/
3
to a improper fraction: 3 2/3 = 3 2/
3
= 3 · 3 + 2/
3
= 9 + 2/
3
= 11/
3
To find new numerator:
a) Multiply the whole number 3 by the denominator 3. Whole number 3 equally 3 * 3/
3
= 9/
3
b) Add the answer from previous step 9 to the numerator 2. New numerator is 9 + 2 = 11
c) Write a previous answer (new numerator 11) over the denominator 3.
Three and two thirds is eleven thirds
Conversion a mixed number 2 1/
7
to a improper fraction: 2 1/7 = 2 1/
7
= 2 · 7 + 1/
7
= 14 + 1/
7
= 15/
7
To find new numerator:
a) Multiply the whole number 2 by the denominator 7. Whole number 2 equally 2 * 7/
7
= 14/
7
b) Add the answer from previous step 14 to the numerator 1. New numerator is 14 + 1 = 15
c) Write a previous answer (new numerator 15) over the denominator 7.
Two and one seventh is fifteen sevenths
Multiple: 11/
3
* 15/
7
= 11 · 15/
3 · 7
= 165/
21
= 55 · 3/
7 · 3
= 55/
7
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(165, 21) = 3. In the next intermediate step , cancel by a common factor of 3 gives 55/
7
.
In words - eleven thirds multiplied by fifteen sevenths = fifty-five sevenths.
Step-by-step explanation:
6 11/12=(6*12+11)/12=83/12
2 4/16=(2*16+4)/16=36/16
3 2/3=(3*3+2)/3=11/3
83/12-(36/16+11/3)=83/12-(36*3+11*16)/48