Fraction Calculator - Calculation: 3 1/8+2 3/8-1 1/4

Fraction calculator Enter fraction expression: 3 1/8+2 3/8-1 1/4 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:

3 1/8 + 2 3/8 - 1 1/4 = 17/4 = 4 1/4 = 4.25

Spelled out: seventeen quarters (or four and one quarter).

How do we solve fractions step by step?

1. Conversion a mixed number 3 1/8 to a improper fraction: 3 1/8 = 3 1/8 = 3 · 8 + 1/8 = 24 + 1/8 = 25/8To find a new numerator: a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8/8 = 24/8 b) Add the answer from the previous step 24 to the numerator 1. New numerator is 24 + 1 = 25 c) Write a previous answer (new numerator 25) over the denominator 8.Three and one eighth is twenty-five eighths.
2. Conversion a mixed number 2 3/8 to a improper fraction: 2 3/8 = 2 3/8 = 2 · 8 + 3/8 = 16 + 3/8 = 19/8To find a new numerator: a) Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/8 = 16/8 b) Add the answer from the previous step 16 to the numerator 3. New numerator is 16 + 3 = 19 c) Write a previous answer (new numerator 19) over the denominator 8.Two and three eighths is nineteen eighths.
3. Add: 25/8 + 19/8 = 25 + 19/8 = 44/8 = 4 · 11/4 · 2 = 11/2 Both fractions have the same denominator, which is then the common denominator in the adding them. In the following intermediate step, cancel by a common factor of 4 gives 11/2. In other words, twenty-five eighths plus nineteen eighths equals eleven halves.
4. Conversion a mixed number 1 1/4 to a improper fraction: 1 1/4 = 1 1/4 = 1 · 4 + 1/4 = 4 + 1/4 = 5/4To find a new numerator: a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4 b) Add the answer from the previous step 4 to the numerator 1. New numerator is 4 + 1 = 5 c) Write a previous answer (new numerator 5) over the denominator 4.One and one quarter is five quarters.
5. Subtract: the result of step No. 3 - 5/4 = 11/2 - 5/4 = 11 · 2/2 · 2 - 5/4 = 22/4 - 5/4 = 22 - 5/4 = 17/4 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, 4) = 4. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the following intermediate step, it cannot further simplify the fraction result by canceling.In other words, eleven halves minus five quarters equals seventeen quarters.

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:

• Closer to one Here are two sums: A=1/2 + 1/3 and B=1/5 + 1/3. Which of the two sums is closer in value to 1? You must show your work and state clearly whether the answer is A or B.
• Pizza 16 Kevin ate 5/12 of his pizza. Which is a better estimate for the amount of pizza that he ate: A. about half of the pizza or B. almost all of the pizza?
• Same fractions I remember that 2/2 is equal to 1. 3/3 is equal to 1. Where is the fraction 4/4 located on the number line?
• Order Fractions Arrange the fractions from the smallest to the largest. 2/5, 15/6, 1/4, 5/5, 5/4, 4/10, 6/5.
• Fraction quotient seventh Calculate one-seventh of the quotient of the fractions three-quarters and two-thirds.
• Tourist route longest On the first day, tourists covered 3/14 of the planned route, on the second day 1/3 of the route, and on the third day 8/21 of the route. On which day did they walk the longest part of the route (1,2,3)?
• Carlo 2 Carlo had 5/6 of pizza, and Dannah had 1 5/8 of a similar pizza. How much more pizza did Dannah have than Carlo?

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Last Modified: January 30, 2026

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