Fraction Calculator - Calculation: 1.5-1 1/5

Fraction Calculator Enter fraction expression: 1.5-1 1/5 This fraction calculator performs all fraction operations - addition, subtraction, multiplication, and division — and evaluates expressions with fractions. Each calculation includes detailed step-by-step explanations.

The result:

1.5 - 1 1/5 = 3/10 = 0.3

Spelled out: three tenths.

How do we solve fractions step by step?

1. Conversion a decimal number to a fraction: 1.5 = 15/10 = 3/2a) Write down the decimal 1.5 divided by 1: 1.5 = 1.5/1 b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.) 1.5/1 = 15/10 Note: 15/10 is called a decimal fraction. c) Simplify and reduce the fraction 15/10 = 3 * 5/2 * 5 = 3 * 5/2 * 5 = 3/2
2. Conversion a mixed number 1 1/5 to a improper fraction: 1 1/5 = 1 1/5 = 1 · 5 + 1/5 = 5 + 1/5 = 6/5To find a 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 the previous step 5 to the numerator 1. New numerator is 5 + 1 = 6 c) Write a previous answer (new numerator 6) over the denominator 5.One and one fifth is six fifths.
3. Subtract: 1.5 - 6/5 = 3/2 - 6/5 = 3 · 5/2 · 5 - 6 · 2/5 · 2 = 15/10 - 12/10 = 15 - 12/10 = 3/10 It is suitable to adjust both fractions to a common (equal) denominator for subtracting fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 5) = 10. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 5 = 10. In the following intermediate step, it cannot further simplify the fraction result by canceling.In other words, three halves minus six fifths equals 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:

• Identify improper fraction How do you identify improper fractions? Which is improper: A) 3/4 B) 32/15 C) 3/9 D) 2 2/11
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• Dividends The three friends divided the win by the invested money. Karlos got three-eighths, John 320 permille, and the rest got Martin. Who got the most, and which got the least?
• For each For each pair of expressions, circle the greater product without finding the product. (write 1=left expression, 2=right expression) a. 3/4 x 2/3 and 3/4 x 1/2 b. 2/3 x 3 1/4 and 4/3 x 3 1/4 c. 3/8 x 3/8 and 3/8 x 1/2
• Buing Brother got to buy 240 CZK and could buy for 1/8 what he wanted. Could he pay the rest of the purchase for 200 CZK?
• Justify 50 bottles of red wine are purchased for a company party. In the first store, a bottle of wine costs €6.90. Here they have a promotion that when you buy 4 bottles, the fifth one is free. In the second store, the same bottle of wine costs €8.50. However, t
• Compare fractions Find which is the larger of the two fractions: 11/32, 7/24 by expressing the numbers as: a) fractions with the same denominator; b) decimals.

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Last Modified: February 17, 2026

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