Fraction Calculator - Calculation: 1/3+ (-5/6) +12/60

Fraction Calculator Enter fraction expression: 1/3+ (-5/6) +12/60 This fraction calculator performs all basic fraction operations – addition, subtraction, multiplication, and division – and evaluates expressions with fractions. Each calculation includes a detailed step-by-step explanation.

The result:

1/3 + (-5/6) + 12/60 = -3/10 = -0.3

Spelled out: minus three tenths.

How do we solve fractions step by step?

1. Add: 1/3 + (-5/6) = 1/3 + -5/6 = 1 · 2/3 · 2 + (-5)/6 = 2/6 + (-5/6) = 2 + (-5)/6 = -3/6 = 3 · -1/3 · 2 = -1/2 It is suitable to adjust both fractions to a common (equal) denominator for adding fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 6) = 6. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 6 = 18. In the following intermediate step, the fraction cannot be simplified further by canceling.In other words, one third plus minus five sixths equals minus a half.
2. Add: the result of step No. 1 + 12/60 = -1/2 + 12/60 = -1 · 30/2 · 30 + 12/60 = -30/60 + 12/60 = -30 + 12/60 = -18/60 = 6 · -3/6 · 10 = -3/10 It is suitable to adjust both fractions to a common (equal) denominator for adding fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 60) = 60. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 60 = 120. In the following intermediate step, the fraction cannot be simplified further by canceling.In other words, minus a half plus twelve sixtieths equals minus three tenths.

Rules for expressions with fractions:

Fractions - Use a forward slash to separate the numerator and denominator. For example, for five-hundredths, enter 5/100. Mixed numbers Leave one space between the whole number and the fraction part, and use a forward slash for the fraction. For example, enter 1 2/3 . For negative mixed numbers, write the negative sign before the whole number, such as -5 1/2. Division of fractions - Since the forward slash is used for both fraction lines and division, use a colon (:) to divide fractions. For example, to divide 1/2 by 1/3, enter 1/2 : 1/3. Decimals Enter decimal numbers using a decimal point (.), and they will be automatically converted to fractions. For example, enter 1.45.

Math Symbols

Symbol	Symbol name	Symbol Meaning	Example
+	plus sign	addition	1/2 + 1/3
-	minus sign	subtraction	1 1/2 - 2/3
*	asterisk	multiplication	2/3 * 3/4
×	times sign	multiplication	2/3 × 5/6
:	division sign	division	1/2 : 3
/	division slash	division	1/3 / 5
:	colon	complex fraction	1/2 : 1/3
^	caret	exponentiation / power	1/4^3
()	parentheses	calculate expression inside first	-3/5 - (-1/4)

Examples:

• adding fractions: 2/4 + 3/4• subtracting fractions: 2/3 - 1/2• multiplying fractions: 7/8 * 3/9• dividing fractions: 1/2 : 3/4• reciprocal of a fraction: 1 : 3/4• square of a fraction: 2/3 ^ 2• cube of a fraction: 2/3 ^ 3• exponentiation of a fraction: 1/2 ^ 4• fractional exponents: 16 ^ 1/2• adding fractions and mixed numbers: 8/5 + 6 2/7• dividing integer and fraction: 5 ÷ 1/2• complex fractions: 5/8 : 2 2/3• decimal to fraction: 0.625• fraction to decimal: 1/4• fraction to percent: 1/8 %• comparing fractions: 1/4 2/3• square root of a fraction: sqrt(1/16)• expression with brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 of 5/7• multiplying fractions: 2/3 of 3/5• divide to find the quotient: 3/5÷2/3 Order of Operations Ever wondered why calculators don't just work left to right? This calculator follows the mathematical order of operations — a set of rules that ensures everyone solves expressions the same way, every time. Popular Memory Tricks Different regions use different mnemonics to remember this order: * PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction * BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction * BODMAS - Brackets, Order (or "Of"), Division, Multiplication, Addition, Subtraction * GEMDAS - Grouping symbols (parentheses, brackets, braces: (){}), Exponents, Multiplication, Division, Addition, Subtraction The Golden Rules Rule 1: Multiplication and division always come before addition and subtraction. Think of them as the VIPs that skip to the front of the line! Rule 2: When operations have equal priority (like × and ÷, or + and −), work from left to right—just like reading a book. Rule 3: Parentheses change the natural order of evaluation of operations.

Fractions in word problems:

• Brown or black Max has 13 pairs of socks. From this, six pairs are blue, three pairs are brown, two are black, and two are white. What fraction of Max's socks are either brown or black?
• Subtraction equation What should be subtracted from -3/5 to get -2/3?
• Ice-creams Becky and Sam make 6 ice-creams for their friends. On top of each ice cream, they sprinkle 1/3 of a packet of jelly. How many packets of jelly do they need?
• A cake 2 Karen sliced a cake into 10 slices. She ate 2/10 of it and after some time she ate another 4/10 of it. How much of the cake did Karen eat?
• Mass fraction 2 What fraction is 60kg of 150kg?
• Clock ratio What is six hours to 10 hours?
• 10 children Ten children in the park, four-tenths are wearing a red shirt. How many children in the park are wearing a red shirt?

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Last Modified: March 6, 2026

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