Mixed number calculator
This calculator performs basic and advanced operations with mixed numbers, fractions, integers, decimals. Mixed numbers are also called mixed fractions. A mixed number is a whole number and a proper fraction combined, i.e. one and three-quarters. The calculator evaluates the expression or solves the equation with step-by-step calculation progress information. Solve problems with two or more mixed numbers fractions in one expression.
Result:
3 2/3 = 11/3 = 3 2/3 ≅ 3.6666667
Spelled result in words is three and two thirds (or eleven thirds).Calculation steps
- Conversion a mixed number 3 2/3 to a improper fraction: 3 2/3 = 3 2/3 = 3 · 3 + 2/3 = 9 + 2/3 = 11/3
To find a new numerator:
a) Multiply the whole number 3 by the denominator 3. Whole number 3 equally 3 * 3/3 = 9/3
b) Add the answer from previous step 9 to the numerator 2. New numerator is 9 + 2 = 11
c) Write a previous answer (new numerator 11) over the denominator 3.
Three and two thirds is eleven thirds
Examples:
• sum of two mixed numbers: 1 3/4 + 2 3/8• addition of three mixed numbers: 1 3/8 + 6 11/13 + 5 7/8
• addition of two mixed numbers: 2 1/2 + 4 2/3
• subtracting two mixed numbers: 7 1/2 - 5 3/4
• multiplication of mixed numbers: 3 3/4 * 2 2/5
• comparing mixed numbers: 3 1/4 2 1/3
• changing improper fraction to mixed number: 9/4
• What is 3/4 as a mixed number: 3/4
• subtracting mixed number and fraction: 1 3/5 - 5/6
• sum mixed number and an improper fraction: 1 3/5 + 11/5
Mixed number in word problems:
- Comparing mixed numbers
Which of the following expression will give a sum of 7 and 3/10? A. 3 and 1/5+ 4 and 2/2 B. 3 and 1/10+4 and 2/10 C. 1/10+ 7 and 2/5 D. 2 and 1/10+ 5 and 3/10 - Sandy
Sandy, John and Marg baked pies for the Bake Sale. Sandy cut his pies into 6ths, John but his into 8ths, and Marg cut hers into quarters. Sandy sold 11/6, John sold 1 3/8 pies, and Marg sold 9/4 pies. Who sold the most pies? Who sold the fewest? - 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 - True or false?
Which of the following is true? A three and three ninths plus seven and six elevenths equals ten and eighty seven ninety ninths B two and three eighths plus six and four fifths equals eight and twelve fourtieths C three and three sevenths plus four and tw - Lemonade
During a contest, Karlo drank 1 3/4 liters of lemonade and Ralph drank 1 ½ liters . Who drank more lemonade and by how much? - Sayavong
Sayavong is making cookies for the class. He has a recipe that calls for 3 and 1/2 cups of flour. He has 7/8 of a cup of wheat flour, and 2 and 1/2 cups of white flour. Does Mr. Sayavong have enough flour to make the cookies? - Mis Harding
Mis Harding is going to change her tiles and the yards are 2 1/2 yard times 2 1/2 yard on the side. What is her area A 6 1/4 B 4 1/2 C 8 1/2 D 5 1/4 - Ameeka
Ameeka is in charge of designing a school pennant for spirit week. She wants the base to be 3 1/2 feet and the height to be 6 1/2 feet. She has 20 square feet of paper available. Does she have enough paper? - A rectangular 5
A rectangular picture frame is made of wooden strips that are ¾ inch wide. The outside edge of the frame is 8 ¼ inches long and 6 ¾ inches wide. Can a rectangular picture that is 7 inches long and 5 ½ inches wide fit inside the frame? CLEARLY EXPLAIN your - Mr. Cruz
Mr. Cruz borrowed 21,600 euros for 3 years at 16 2⁄3% compounded annually. While Mr. Santos borrowed the same Amount at Simple Interest for the same period and at the same rate of interest. Who Pays more and how much?
more math problems »