Solve: 3⅚ × 5⅚ × ⅓x Mixed Number Multiplication

Solve the following problem:

356×556×13x= 3\frac{5}{6}\times5\frac{5}{6}\times\frac{1}{3}x=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 We want to convert from a mixed number to a fraction only
00:06 We'll do this by multiplying the whole number by the denominator
00:10 We'll use the same method for this fraction
00:19 Always solve multiplication and division before addition and subtraction
00:33 Make sure to multiply numerator by numerator and denominator by denominator
00:46 We'll use long multiplication to calculate
00:59 This is the numerator multiplication
01:06 Now we'll use long multiplication to calculate the denominator multiplication
01:20 This is the denominator multiplication
01:23 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Solve the following problem:

356×556×13x= 3\frac{5}{6}\times5\frac{5}{6}\times\frac{1}{3}x=

2

Step-by-step solution

First, let's convert all mixed fractions to simple fractions:

3×6+56×5×6+56×13x= \frac{3\times6+5}{6}\times\frac{5\times6+5}{6}\times\frac{1}{3}x=

Let's solve the exercises with the eight fractions:

18+56×30+56×13x= \frac{18+5}{6}\times\frac{30+5}{6}\times\frac{1}{3}x=

236×356×13x= \frac{23}{6}\times\frac{35}{6}\times\frac{1}{3}x=

Since the exercise only involves multiplication, we'll combine all the numerators and denominators:

23×356×6×3x=805108x \frac{23\times35}{6\times6\times3}x=\frac{805}{108}x

3

Final Answer

805108x \frac{805}{108}x

Practice Quiz

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\( 94+12+6= \)

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