Answer as a mixed number = 8 & 2/3
Answer as an improper fraction = 26/3
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Step-by-step explanation
To make multiplication easier, we first should convert the mixed numbers to improper fractions.
Use this formula:
a & b/c = (a*c + b)/c
So,
a & b/c = (a*c + b)/c
2 & 2/3 = (2*3 + 2)/3
2 & 2/3 = 8/3
Use that same formula to also find that 3 & 1/4 = 13/4. Let me know if you need to see the steps for this part.
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The original problem (2 & 2/3) * (3 & 1/4) is equivalent to (8/3)*(13/4)
Multiply the numerators: 8*13 = 104
Multiply the denominators: 3*4 = 12
Therefore, (7/3)*(13/4) = 104/12 = (26*4)/(3*4) = 26/3
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The last step would be to convert from an improper fraction to a mixed number.
26/3 = (24 + 2)/3
26/3 = (24/3) + (2/3)
26/3 = 8 + (2/3)
26/3 = 8 & 2/3
The mixed number result has the whole part 8, and fractional part 2/3.
Another way is to use long division to find that 26/3 = 8 remainder 2. The "remainder 2" forms the numerator of the fractional part 2/3.
If you had 26 cookies and shared them with 3 friends, then each friend gets 8 whole cookies. Each friend also gets 2/3 of an extra cookie.
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In summary
(2 & 2/3) * (3 & 1/4) = 26/3 = 8 & 2/3