Calculator subtracting mixed number and fraction



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.

1 3/5 - 5/6 = 23/300.7666667

Spelled result in words is twenty-three thirtieths.

Calculation steps

  1. Conversion a mixed number 1 3/5 to a improper fraction: 1 3/5 = 1 3/5 = 1 · 5 + 3/5 = 5 + 3/5 = 8/5

    To find new numerator:
    a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5/5 = 5/5
    b) Add the answer from previous step 5 to the numerator 3. New numerator is 5 + 3 = 8
    c) Write a previous answer (new numerator 8) over the denominator 5.

    One and three fifths is eight fifths
  2. Subtract: 8/5 - 5/6 = 8 · 6/5 · 6 - 5 · 5/6 · 5 = 48/30 - 25/30 = 48 - 25/30 = 23/30
    For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(5, 6) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 6 = 30. In the next intermediate step the fraction result cannot be further simplified by canceling.
    In words - eight fifths minus five sixths = twenty-three thirtieths.

Mixed fractions in word problems:

  • Difference mixed fractions
    mixed_fractions_1 What is the difference between 4 2/3 and 3 1/6?
  • Mixed numbers
    zlomky_10 Rewrite mixed numbers so the fractions have the same denominator: 5 1/5 - 2 2/3
  • Add sub fractions
    fractions_2 What is 4 1/2+2/7-213/14?
  • Regrouping
    mixed_7 Subtract mixed number with regrouping: 11 17/20- 6 19/20
  • Two pizzas
    pizza_1 Jacobs mom bought two whole pizzas. He ate 2/10 of the pizza and his dad ate 1 1/5. How much is left.
  • Pizzas
    pizza Billy ate 1 1/4 pizzas and John ate 1 2/3 pizzas. How much more pizza did John eat than Billy?
  • Curtain
    textiles_2 Mrs. Lazo bought 9 1/8 m curtain cloth. She used 3 5/6 m to make a curtain for their bedroom. How many meters of cloth were not used?
  • Two ribbons
    meter_1 The total length of the two ribbons is 13 meters. If one ribbon is 7 and 5/8 meters long, what is the length of the other ribbon?
  • Submerging
    submarine Monika dove 9 meters below the ocean's surface. She then dove 13 meters deeper. Then she rose 19 and one-fourth meters. What was her position concerning the water's surface (the water surface = 0, minus values = above water level, plus = above water level
  • A 14.5-gallon
    fuel_1 A 14.5-gallon gasoline tank is 3/4 full. How many gallons will it take to fill the tank? Write your answer as a mixed number.
  • Cups of punch
    mixed_fractions Cyka made 6 19/20 cups of punch punch at two different types of juice in it. If the punch had 4 1/5 cups of one type of juice how many cups of the other type of juice did it have?
  • Karina
    textiles Karina has 5 4/7 meters of cloth. She needs 3 1/6 meters of it in making a curtain for her window. How many meters of cloth were left to her after making the curtain?
  • Arelli
    time_1 Arelli had 20 minutes to do a three-problem quiz. She spent 9 7/10 minutes on question A and 3 2/5 minutes on question B. How much time did she have left for question C? Solve on paper to find the answer as a fraction.
  • On Friday
    dog On Friday, Amanda bought 5 ⅙ kg of dog food. She used 1 ¼ kg of it on her dog Gunner and 2 ½ kg of it on her dog Connor. How many kilograms of dog food did Amanda have left?
  • Timothy
    family_2 Timothy is 56 4/5 inches tall. Theresa is 1 1/6 inches shorter than Timothy and Jane is 1 1/3 inches shorter than Theresa. How tall is Jane?
  • Martin
    wood_1 Martin is making a model of a Native American canoe. He has 5 1/2 feet of wood. He uses 2 3/4 feet for the hull and 1 1/4 feet for a paddle. How much wood does he have left? Martin has feet of wood left.
  • Volunteers
    smetiari Volunteers helped clean up 8.2 kg of trash in one neighborhood and 11 1/2 kg in another. They sent 2 3/5 kg to be recycled and threw the rest away. How many kilograms of trash did they throw away?


next math problems »