Calculator multiplication of mixed numbers



The calculator performs basic and advanced operations with mixed numbers, fractions, integers, decimals. Mixed fractions are also called mixed numbers. A mixed fraction 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.

The calculator performs basic and advanced operations with mixed numbers, fractions, integers, decimals. Mixed fractions are also called mixed numbers. A mixed fraction 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.

3 3/4 * 2 2/5 = 9/1 = 9

Spelled result in words is nine.

Calculation steps

  1. Conversion a mixed number 3 3/4 to a improper fraction: 3 3/4 = 3 3/4 = 3 · 4 + 3/4 = 12 + 3/4 = 15/4

    To find new numerator:
    a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/4 = 12/4
    b) Add the answer from previous step 12 to the numerator 3. New numerator is 12 + 3 = 15
    c) Write a previous answer (new numerator 15) over the denominator 4.

    Three and three quarters is fifteen quarters
  2. Conversion a mixed number 2 2/5 to a improper fraction: 2 2/5 = 2 2/5 = 2 · 5 + 2/5 = 10 + 2/5 = 12/5

    To find new numerator:
    a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5/5 = 10/5
    b) Add the answer from previous step 10 to the numerator 2. New numerator is 10 + 2 = 12
    c) Write a previous answer (new numerator 12) over the denominator 5.

    Two and two fifths is twelve fifths
  3. Multiple: 15/4 * 12/5 = 15 · 12/4 · 5 = 180/20 = 9 · 20/1 · 20 = 9
    Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(180, 20) = 20. In the next intermediate step , cancel by a common factor of 20 gives 9/1.
    In words - fifteen quarters multiplied by twelve fifths = nine.

Mixed fractions in word problems:

  • Mixed with percentages
    percent_21 Calculate 33 1/3% of 570.
  • Divide 11
    plusminus_1 Divide the product of 4 and 5/8 by 1 1/2. Write your answer as a mixed number.
  • Marbles
    ball_f_1 Dave had 40 marbles. Junjun has 2 1/5 more than Dave’s marbles. How many marbles do they have altogether?
  • Equivalent fractions 2
    plusminus_1 Write the equivalent multiplication expression. 2 1/6÷3/4
  • Numbers division
    fractions With what number should be divided mixed number 2 3/4 to get 11/12?
  • The fence 2
    plot_1 A certain type of fencing sells for $9 a yard. How much will 10 2/3 yards of fencing cost?
  • A supermarket
    vahy2_1 A supermarket has 3 7/8 pounds of tangerines. Kelsey buys 1/2 of all the tangerines in the supermarket. How many pounds of tangerines did Kelsey buy?
  • The distance
    city_1 The distance between two towns on a given map is 3 ½ cm. If ½ cm represents 6km. , what is the distance between the two towns?
  • Jim collected
    flasa Jim collected 5 bins of glass bottles to recycle. Lucia collected 3 1/5 times as many bins as Jim. How many bins of bottles did Lucia collect?
  • The fish
    fish The fish vendor sells 1/7 kilos of bangus for 66.2 euro. If you will buy 9 2/8 kilos of bangus, how much will cost?
  • Tablespoon of salt
    vaha Mrs. Monika uses 3/4 tablespoon of salt for every kilogram of ground pork. How many table spoons of salt will she use for 3 1/2 kilograms of ground pork?
  • Gold fabric
    gold Katy and her girlfriends went to the store to buy supplies to make a costume for Katy's school play. They needed 7 ½ meter of gold fabric. If each meter costs 3.4 USD, how much will 7 ½ meters cost?
  • Jewelry box
    ring The bottom of Zeyda's jewelry box is a rectangle with the length of 5 3/8 inches and a width of 3 1/4 inches. What is the area of the bottom of the jewelry box?
  • Max vs Sharon
    meter_3 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?
  • Water
    tanks Mix 68 l of water with a temperature of 87 °C, 17 l warm of 42 °C, and 55 l water of 50 °C. What is the temperature of the mixed water immediately after mixing?
  • Bathroom 4
    water Dolor puts 3 1/2 pails of water into a water container in the bathroom everyday. Her daughter, Lei uses 2 1/4 pails of water everyday when taking a bath. If at the start, the water container had 5 5/8 pails of water, how much water is left in it after 5 d
  • Divide
    hrusky How many different ways can three people divide 7 pears and 5 apples?


next math problems »