The calculator performs simple and progressed operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It likewise shows detailed step-by-step information around the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

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## Result:

### (3 1/2) : 2 = 7/4 = 1 3/4 = 1.75

Spelled an outcome in words is 7 quarters (or one and three quarters).
conversion a mixed number 3 1/2 to a not correct fraction: 3 1/2 = 3 1/2 = 3 · 2 + 1/2 = 6 + 1/2 = 7/2To uncover a brand-new numerator:a) multiply the totality number 3 through the denominator 2. Whole number 3 equally 3 * 2/2 = 6/2b) include the answer from previous action 6 come the molecule 1. New numerator is 6 + 1 = 7c) write a previous answer (new molecule 7) end the denominator 2.Three and also one fifty percent is seven halfs Divide: 7/2 : 2 = 7/2 · 1/2 = 7 · 1/2 · 2 = 7/4 splitting two fountain is the exact same as multiplying the first fraction by the reciprocal worth of the 2nd fraction. The an initial sub-step is to find the mutual (reverse the numerator and denominator, reciprocal of 2/1 is 1/2) the the 2nd fraction. Next, multiply the 2 numerators. Then, main point the two denominators. In the complying with intermediate step, the portion result can not be more simplified through canceling.In various other words - 7 halfs split by two = 7 quarters.
Rules for expressions through fractions: Fractions - simply use a front slash between the numerator and denominator, i.e., for five-hundredths, get in 5/100. If you are using mixed numbers, be certain to leave a solitary space in between the entirety and fraction part.The cut separates the numerator (number over a fraction line) and denominator (number below).Mixed numerals (mixed fractions or combined numbers) compose as integer separated through one space and fraction i.e., 12/3 (having the exact same sign). An instance of a an adverse mixed fraction: -5 1/2.Because cut is both indicators for fraction line and division, us recommended use colon (:) together the operator of division fractions i.e., 1/2 : 3.Decimals (decimal numbers) go into with a decimal suggest . and they are immediately converted to fractions - i.e. 1.45.The colon : and also slash / is the prize of division. Have the right to be supplied to divide mixed numbers 12/3 : 43/8 or deserve to be provided for write complex fractions i.e. 1/2 : 1/3.An asterisk * or × is the symbol because that multiplication.Plus + is addition, minus sign - is subtraction and also ()<> is mathematics parentheses.The exponentiation/power price is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2
Examples: • adding fractions: 2/4 + 3/4• subtracting fractions: 2/3 - 1/2• multiplying fractions: 7/8 * 3/9• separating Fractions: 1/2 : 3/4• indexes of fraction: 3/5^3• fractional exponents: 16 ^ 1/2• adding fractions and mixed numbers: 8/5 + 6 2/7• dividing integer and also fraction: 5 ÷ 1/2• complicated fractions: 5/8 : 2 2/3• decimal to fraction: 0.625• portion to Decimal: 1/4• fraction to Percent: 1/8 %• compare fractions: 1/4 2/3• multiply a fraction by a entirety number: 6 * 3/4• square source of a fraction: sqrt(1/16)• reduce or simplifying the portion (simplification) - splitting the numerator and denominator of a portion by the very same non-zero number - tantamount fraction: 4/22• expression v brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 of 5/7• fountain multiple: 2/3 of 3/5• divide to discover the quotient: 3/5 ÷ 2/3The calculator follows well-known rules because that order the operations. The most usual mnemonics for remembering this order of to work are: PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction BODMAS - Brackets, that or Order, Division, Multiplication, Addition, Subtraction.

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GEMDAS - Grouping icons - base (), Exponents, Multiplication, Division, Addition, Subtraction. it is in careful, constantly do multiplication and also division before addition and subtraction. Some operators (+ and -) and also (* and /) has the same priority and then must evaluate indigenous left to right.

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