SolverCalc · Fractions & ratios

Fraction Calculators & Converters

Start with the numbers you have: two fractions to calculate with, one fraction to reduce, a decimal to rewrite, or a ratio to compare. Choose the matching SolverCalc tool below.

Six tools handle fraction arithmetic, lowest terms, mixed-number simplification, decimal and percent conversions, and two-part ratios. Each card shows the required input and a sample result; the calculation opens on its own tool page.

Do you have two fractions, or just one?

An operation combines values; simplification keeps a value unchanged. Choose by the task in the question, not just by the presence of a fraction bar.

Fraction Calculator

Choose this for addition, subtraction, multiplication or division involving two fractions.

Example input2/3 + 1/65/6

Select the operation, then enter the four whole-number terms in their separate numerator and denominator fields. Mixed-number results are shown when appropriate.

Simplify Fraction Calculator

Choose this when a single fraction or mixed number needs its lowest-terms form.

Example inputNumerator = 18; denominator = 243/4, using GCD 6

Leave Whole blank for a simple fraction. Use the optional Whole field for a mixed number; the result includes a decimal and the reduction steps.

Choose the form you need to finish with

A fraction, decimal and percentage can describe the same value. Pick a conversion direction first; changing notation is different from adding another value or measuring a percentage change.

Decimal to Fraction Calculator

Start here when the given number is a decimal and the required answer is a reduced fraction.

Example inputDecimal = 0.625; repeating digits = 05/8

The separate Repeating digits field matters: 0.27 with 2 repeating digits means 0.272727… and gives 3/11. A decimal that stops uses 0 repeating digits.

Fraction to Decimal Converter

Start with a numerator and denominator when you need the decimal expansion and its terminating or repeating form.

Example inputNumerator = 7; denominator = 120.58(3)

Parentheses in the output mark the repeating block: here only the 3 repeats. This notation is not multiplication, and 0.5833 is only a finite approximation.

Fraction to Percent Converter

Use this when a fraction needs to be reported in hundredths, with a percent sign.

Example inputNumerator = 3; denominator = 837.5%

Enter integer terms, not a percent sign in the input fields. An improper fraction can give more than 100%; that is not automatically an error.

Compare two quantities without confusing the whole

A ratio labels the relationship between two amounts. First decide whether the second amount is another part or the total; the same numbers can answer different questions.

Ratio Calculator

Reduce a two-part comparison, then generate an equivalent pair using a scale factor.

Example inputA = 12; B = 18; equivalent scale = 42 : 3; equivalent ratio 8 : 12

The scale applies to the simplified pair. Non-negative decimal parts are supported, but this tool does not solve a missing term in a proportion.

Equivalent fractions keep the same amount shaded

Compare equal-sized wholes. Splitting each third in two doubles both the number of shaded pieces and the total pieces, without changing the shaded amount.

Two of three equal parts and four of six equal parts cover the same length: 2/3 = 4/6. The number of pieces changes; their combined share does not.

Three checks that prevent the wrong kind of answer

  • Mixed number or improper fraction?

    For arithmetic inputs, rewrite a mixed number before entering its terms: 2 1/4 becomes 9/4. The numerator and denominator boxes accept integers, not the whole mixed-number notation.

  • Exact value or rounded display?

    Keep an exact fraction or a stated repeating block through later calculations. If you write a rounded decimal instead, use an approximation sign and the precision your question requires.

  • Is the operation defined?

    Every fraction needs a nonzero denominator. Dividing by a fraction also requires that second fraction to be nonzero; a zero numerator is otherwise a valid input.

A classroom check: which quantity is the denominator?

Suppose a tray holds 12 red counters and 18 blue counters. Red to blue is 12:18, or 2:3. Red as a share of all counters is 12/(12 + 18), or 2/5—not 2/3. Ask learners to label the two quantities before choosing a tool. That small step separates part-to-part comparison from part-to-whole reasoning.