Equivalent fractions 2

Write the equivalent multiplication expression.

2 1/6÷3/4

Correct answer:

x =  2.8889

Step-by-step explanation:

$$\begin{gathered} a=2{\displaystyle \frac{1}{6}}=2+{\displaystyle \frac{1}{6}}={\displaystyle \frac{2\cdot 6+1}{6}}={\displaystyle \frac{13}{6}}\doteq 2.1667 \\ b={\displaystyle \frac{3}{4}}=0.75 \\ x=a\mathrm{/}b=2.1667\mathrm{/}0.75={\displaystyle \frac{26}{9}}=2\frac{8}{9}\doteq 2.8889 \\ {x}_1={\displaystyle \frac{2\cdot 6+1}{6}}\cdot {\displaystyle \frac{4}{3}}={\displaystyle \frac{26}{9}}=2\frac{8}{9}\doteq 2.8889 \\ {x}_2={\displaystyle \frac{4\cdot (2\cdot 6+1)}{6\cdot 3}}={\displaystyle \frac{26}{9}}=2\frac{8}{9}\doteq 2.8889 \end{gathered}$$

Try another example

Related math problems and questions:

• Fractions and mixed numerals
  (a) Convert the following mixed numbers to improper fractions. i. 3 5/8 ii. 7 7/6 (b) Convert the following improper fraction to mixed number. i. 13/4 ii. 78/5 (c) Simplify these fractions to their lowest terms. i. 36/42 ii. 27/45 2. evaluate following ex
• Divide 11
  Divide the product of 4 and 5/8 by 1 1/2. Write your answer as a mixed number.
• Evaluate mixed expressions
  Which of the following is equal to 4 and 2 over 3 divided by 3 and 1 over 2? A. 4 and 2 over 3 times 3 and 2 over 1 B. 14 over 3 times 2 over 7 C. 14 over 3 times 7 over 2 D. 42 over 3 times 2 over 31
• Numbers division
  With what number should be divided mixed number 2 3/4 to get 11/12?
• Simplify 7
  Simplify. 7-1/3÷ 3-2/3 of 2+ 4-1/2÷ 2-1/4+ 1/2 solution and by step by step
• Alexandra
  Alexandra made a rectangular quilt the measured 3 1/4. 2 3/4 feet in width. What is the area of the quilt in square feet? Write an equation to solve.
• Adding mixed numerals
  3 3/4 + 2 3/5 + 5 1/2 Show your solution.
• Simplify 3
  Simplify mixed numerals expression: 8 1/4- 3 2/5 - (2 1/3 - 1/4) Show your solution.
• Between two mixed
  What is the rational number between 2 1/4 and 2 4/5?
• A large 2
  A large popcorn bag holds four times as much as a small popcorn bag at the end of the party 3 1/3 small bags and 2 1/4 large bags left. How many small bags with the leftover popcorn fill?
• Addition of mixed numerals
  Add two mixed fractions: 2 4/6 + 1 3/6
• Difference mixed fractions
  What is the difference between 4 2/3 and 3 1/6?
• Simplify expression with mixed
  When (7¹/3 + 2¾)÷(2 + 2¼ × 1¹/3) is simplified the result is?
• Equation
  Solve equation and check the result: 1.4x - 3/2 + x - 9,8 = x + 0,4/3 - 7 + 1,6/6
• Pizzas
  Billy ate 1 1/4 pizzas and John ate 1 2/3 pizzas. How much more pizza did John eat than Billy?
• Quotient 3
  If the quotient of 8/13 and 2 is subtracted from the product of 1 3/4 and 8/21, what is the difference?
• Max vs Sharon
  Max is 1 1/2 times as tall as Sharon. Alan is 4 1/3 feet tall. If Alan is 6 inches taller than Sharon, how tall is Max?