Fraction Calculator - Calculation: 3/8*100

Fraction calculator Enter fraction expression: 3/8*100 Work with fractions This calculator multiplies a fraction by integer or whole number. To multiple fraction by a whole number, we multiple the numerator by the whole number. Then simplify the result to the lowest terms or a mixed number.

The result:

3/8 * 100 = 75/2 = 37 1/2 = 37.5

The result spelled out in words is seventy-five halves (or thirty-seven and a half).

How do we solve fractions step by step?

  1. Multiple: 3/8 * 100 = 3 · 100/8 · 1 = 300/8 = 75 · 4/2 · 4 = 75/2 The second operand is an integer. It is equivalent to the fraction 100/1. Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(300, 8) = 4. In the following intermediate step, cancel by a common factor of 4 gives 75/2. In other words, three eighths multiplied by one hundred equals seventy-five halves.

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

SymbolSymbol nameSymbol MeaningExample
+plus signaddition 1/2 + 1/3
-minus signsubtraction 1 1/2 - 2/3
*asteriskmultiplication 2/3 * 3/4
×times signmultiplication 2/3 × 5/6
:division signdivision 1/2 : 3
/division slashdivision 1/3 / 5
:coloncomplex fraction 1/2 : 1/3
^caretexponentiation / power 1/4^3
()parenthesescalculate 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:

  • A sixth of a million Please, how much is 2/6 of 10,000,000,- USD?
  • The ratio 19 The ratio of males to females in a school is 1:2. If there are 24 pupils, find the number of males.
  • Tim had Tim had $360. He spent 1/4 on CD's and 2/3 of the remainder on snacks. What was left in his piggy bank?
  • Carla 3 Carla bought 3/4 kilogram of fish in the market for 120 pesos. If each piece of fish weighs 1/4 kilogram, how much does each cost?
  • Eighty 2 Eighty children went on a field trip. If three-fifths of them were boys, how many were girls?
  • Douglas HS Douglas High School is holding a fundraiser and plans to use 2/3 of the money collected to build a new library. Of the money directed towards building the new library, 1/5 will purchase computers. What fraction of the money raised will go towards purchasi
  • Johnny 2 Johnny spends 1/2 of his salary on his family, 1/6 on personal expenses, and 1/9 on convenience, and he saves the rest. What fraction of his salary does he have? How much money does he save from his salary of $180?
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Last Modified: November 19, 2025 Math word problems

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