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To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Convert to an improper fraction:
The denominator is 9. Multiply the whole number 3 by 9 and add the numerator 7:
.
So, .
Step 2: Multiply by 4:
.
Step 3: Simplify to a mixed number:
Divide 136 by 9. The quotient is 15, and the remainder is 1. Thus, .
Therefore, the solution to the problem is .
\( 5:\frac{2}{5}= \)
Because a mixed number like represents one complete number, not two separate parts. Multiplying separately would give you 12 + = , which happens to work here but fails with other operations like division.
Use the formula: multiply the whole number by the denominator, then add the numerator. For : (3×9) + 7 = 27 + 7 = 34, so it becomes .
Convert back when your final answer is an improper fraction (numerator larger than denominator). Divide the numerator by denominator: quotient becomes the whole number, remainder becomes the new numerator.
Remember: means "136 ÷ 9". Use long division or think "how many 9s fit into 136?" Answer: 15 times with 1 left over, so .
Usually mixed numbers are preferred for final answers because they're easier to understand. However, check your teacher's preference - some contexts prefer improper fractions!
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