Fraction Calculator - Calculation: 16 3/8-9 5/8

Fraction calculator Enter fraction expression: 16 3/8-9 5/8 This fraction calculator performs all fraction operations - addition, subtraction, multiplication, division and evaluates expressions with fractions. It also shows detailed step-by-step information.

The result:

16 3/8 - 9 5/8 = 27/4 = 6 3/4 = 6.75

The result spelled out in words is twenty-seven quarters (or six and three quarters).

How do we solve fractions step by step?

1. Conversion a mixed number 16 3/8 to a improper fraction: 16 3/8 = 16 3/8 = 16 · 8 + 3/8 = 128 + 3/8 = 131/8To find a new numerator: a) Multiply the whole number 16 by the denominator 8. Whole number 16 equally 16 * 8/8 = 128/8 b) Add the answer from the previous step 128 to the numerator 3. New numerator is 128 + 3 = 131 c) Write a previous answer (new numerator 131) over the denominator 8.Sixteen and three eighths is one hundred thirty-one eighths.
2. Conversion a mixed number 9 5/8 to a improper fraction: 9 5/8 = 9 5/8 = 9 · 8 + 5/8 = 72 + 5/8 = 77/8To find a new numerator: a) Multiply the whole number 9 by the denominator 8. Whole number 9 equally 9 * 8/8 = 72/8 b) Add the answer from the previous step 72 to the numerator 5. New numerator is 72 + 5 = 77 c) Write a previous answer (new numerator 77) over the denominator 8.Nine and five eighths is seventy-seven eighths.
3. Subtract: 131/8 - 77/8 = 131 - 77/8 = 54/8 = 2 · 27/2 · 4 = 27/4 Both fractions have the same denominator, which is then the common denominator in the subtracting them. In the following intermediate step, cancel by a common factor of 2 gives 27/4. In other words, one hundred thirty-one eighths minus seventy-seven eighths equals twenty-seven quarters.

Rules for expressions with fractions:

Fractions - write a forward slash to separate the numerator and the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts. Mixed numerals (mixed numbers or fractions) - keep one space between the whole part and fraction and use a forward slash to input fraction i.e., 1 2/3 . A negative mixed fraction write for example as -5 1/2. A slash is both a sign for fraction line and division, use a colon (:) for division fractions i.e., 1/2 : 1/3. Decimals (decimal numbers) enter with a decimal dot . and they are automatically converted to fractions - i.e. 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• fractions multiple: 2/3 of 3/5• divide to find the quotient: 3/5÷2/3 The calculator follows well-known rules for the order of operations. The most common mnemonics for remembering this order are:

• 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 (brackets: (){}), Exponents, Multiplication, Division, Addition, Subtraction.
• MDAS: Multiplication and Division (same precedence), Addition and Subtraction (same precedence). MDAS is a subset of PEMDAS.

Important Notes: 1. Multiplication/Division vs. Addition/Subtraction: Always perform multiplication and division *before* addition and subtraction. 2. Left-to-Right Rule: Operators with the same precedence (e.g., + and -, or * and /) must be evaluated from left to right.

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.
• Compare operators Place the correct symbol, < or >, between the two numbers: 4/7 and 5/6.
• 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?
• The numerator The numerator of the fraction is 5 more than its denominator. If 4 is added to the numerator and denominator, the fraction obtained is 6/5. What is that fraction?
• Tourists 82400 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)?
• 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?
• Fractions Sort fractions z1 = (20)/(9); z2 = (10)/(21); z3 = (15)/(14) by their size. The result writes as three serial numbers 1,2,3.

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Last Modified: November 19, 2025

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