Solve the Fraction Equation: 5/6 × ? = 1/3

Question

56×?=13 \frac{5}{6}\times?=\frac{1}{3}

Video Solution

Solution Steps

00:00 Find the unknown
00:03 Isolate the unknown
00:06 Write division as multiplication by reciprocal, and calculate the products
00:09 Reduce the fraction as much as possible
00:12 And this is the solution to the question

Step-by-Step Solution

To solve the equation 56×?=13 \frac{5}{6} \times ? = \frac{1}{3} , we need to find the missing number represented by "?".

We can solve this problem by using the following steps:

  • Step 1: Identify the equation we are working with:
    We have the equation 56×?=13 \frac{5}{6} \times ? = \frac{1}{3} .
  • Step 2: Isolate the unknown variable, "?":
    To do this, divide both sides of the equation by 56 \frac{5}{6} .
  • Perform the division:
    ?=1356=13×65? = \frac{\frac{1}{3}}{\frac{5}{6}} = \frac{1}{3} \times \frac{6}{5}
  • Step 3: Simplify the expression:
    Now, multiply 13 \frac{1}{3} by the reciprocal of 56 \frac{5}{6} :
    ?=1×63×5=615? = \frac{1 \times 6}{3 \times 5} = \frac{6}{15}
  • Simplify the fraction 615\frac{6}{15}:
    The greatest common divisor of 6 and 15 is 3, so divide both the numerator and the denominator by 3:
    ?=6÷315÷3=25? = \frac{6 \div 3}{15 \div 3} = \frac{2}{5}

Therefore, the solution to the problem is 25 \frac{2}{5} .

Answer

25 \frac{2}{5}