Calculator expression with brackets

The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. Also shows detailed step-by-step information about fraction calculation procedure. Solve problems with two, three or more fractions and numbers in one expression.

1/3 * (1/2 - 3 3/8) = -2324 ≅ -0.9583333

Spelled result in words is minus twenty-three twenty-fourths.

How do you solve fractions step by step?

  1. Conversion a mixed number 3 38 to a improper fraction: 3 3/8 = 3 38 = 3 · 8 + 38 = 24 + 38 = 278

    To find new numerator:
    a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 88 = 248
    b) Add the answer from previous step 24 to the numerator 3. New numerator is 24 + 3 = 27
    c) Write previous answer (new numerator 27) over the denominator 8.

    Three and three eighths is twenty-seven eighths
  2. Subtract: 12 - 278 = 1 · 42 · 4 - 278 = 48 - 278 = 4 - 278 = -238
    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(2, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the next intermediate step the fraction result cannot be further simplified by cancelling.
    In words - one half minus twenty-seven eighths = minus twenty-three eighths.
  3. Multiple: 13 * the result of step No. 2 = 13 * (-238) = 1 · (-23)3 · 8 = -2324
    Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-23, 24) = 1. In the next intermediate step the fraction result cannot be further simplified by cancelling.
    In words - one third multiplied by minus twenty-three eighths = minus twenty-three twenty-fourths.

Rules for expressions with fractions:

Fractions - use the slash “/” between the numerator and denominator, i.e. for five-hundredths enter 5/100. If you are using mixed numbers be sure to leave a single space between the whole number and fraction part.
The slash separates the numerator (number above a fraction line) and denominator (number below).

Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, we recommended use colon (:) as operator of division fractions i.e., 1/2 : 3.

Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

Colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
An asterisk * or × is the symbol for multiplication.
Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.
The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2

Calculator follows well-known rules for order of operations. Most common mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
Be careful, always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.

Fractions in word problems:

  • Classroom 4
    skola_1 In a class of 36 pupils, 2/3 are girls. How much it is in a class girls and boys?
  • One third 2
    fractions One third of all students in class live in a house. If here are 42 students in a class, how many of them live in house?
  • Watching TV
    tv2_1 One evening 2/3 students watch TV. Of those students, 3/8 watched a reality show. Of the students that watched the show, 1/4 of them recorded it. What fraction of the students watched and recorded reality tv.
  • One-third 2
    test_7 One-third of the people in a barangay petitioned the council to allow them to plant in vacant lots and another 1/5 of the people petitioned to have a regular garbage collection. What FRACTION of the barangay population made the petition?
  • A store
    skateboard A store received a shipment of 240 skateboards. In three weeks, it sold 1/3 of those skateboards. How many skateboards did the store sell?
  • Pie
    pie_1 Vili ate three pieces of pie . If it piece is 1/8 how much pie did he eat?
  • Icecreams
    zmrzlina_4 Karthik bought 30 icecreams for his birthday .2/5 of them are chocolate icecreams. Find the number of chocolate icecreams he bought?
  • Pie II
    pie_2 Vili ate three pieces of pie. If it pieces is 1/8 how much pie did he eat?
  • Write 3
    plusminus Write a real world problem involving the multiplication of a fraction and a whole number with a product that is between 8 and 10 then solve the problem
  • Fractions 3
    fractions_9 Calculate 1/9 of 27:
  • Farmers 2
    tomato On Wednesday the farmers at the Grant Farm picked 2 barrels of tomatoes. Thursday, the farmers picked 1/2 as many tomatoes as on Wednesday. How many barrels of tomatoes did the farmers pick on Thursday?
  • Scouts 4
    1957-4a 4/7 of the students in a school are boys. If 3/8 of the boys are scouts, how many scouts are there in a school of 1878 students?
  • The tap
    kohutik For one day flows 148 l of water out of the tap. How much water will flow out for 3/4 day?

next math problems »