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Fraction & Decimal Calculator with Step-by-Step Solutions

Add, subtract, multiply, and divide fractions with automatic least common denominator (LCD) finding, mixed number conversion, prime factorization diagrams, and live geometric slice visualizers.

CHASSIS MODEL SC-84F

SOLAR

FRACTION 1

WHOLE

OPERATOR

FRACTION 2

WHOLE

check_circle COMPUTED RESULT SUMMARY MODE: RATIONAL EXACT

IMPROPER FRACTION

23 / 20

Lowest Terms

MIXED NUMBER

1 3/20

1 Whole + 3/20

DECIMAL VALUE

1.15

Terminating

PERCENTAGE

115%

+15% over 1 unit

ALGORITHM: PRIME LCD

Step-by-Step Derivation

Find Least Common Denominator (LCD)

Denominators are 4 and 5.

• Prime factors of 4: 2²

• Prime factors of 5: 5¹

LCM(4, 5) = 2² × 5 = 20

Convert to Equivalent Fractions

Multiply numerator and denominator by factors needed to reach 20:

(3 / 4) × (5 / 5) = 15 / 20

(2 / 5) × (4 / 4) = 8 / 20

Add Numerators Across Common Base

(15 + 8) / 20 = 23 / 20

Convert to Mixed Number

Divide 23 by 20: quotient = 1, remainder = 3.

23 / 20 = 1 3/20

GEOMETRIC PROPORTION SLICES VISUAL RATIOS

3/4 (75%) Fraction A

2/5 (40%) Fraction B

1.15 (115%) Combined Sum

Essential Fraction Benchmark Reference Table

Standard classroom fraction-to-decimal reference values with single-click interactive test injection.

★ Quick Reference Bank

Fraction	Reduced Form	Decimal Value	Percentage
1 / 2	1 / 2	0.5	50.0%
1 / 3	1 / 3	0.3333...	33.33%
2 / 3	2 / 3	0.6666...	66.67%
1 / 4	1 / 4	0.25	25.0%
3 / 4	3 / 4	0.75	75.0%
3 / 8	3 / 8	0.375	37.5%
5 / 8	5 / 8	0.625	62.5%

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Classroom Challenge Trainer

Daily Math Drills

QUESTION 1 OF 5

Evaluate: 5 / 6 − 1 / 4

Hint: Determine the least common multiple of 6 and 4 first.

help

Frequently Asked Questions & Step Guides

How to simplify improper fractions? expand_more

Divide the numerator by the denominator. The whole quotient becomes the integer part, and the remainder becomes the new numerator over the original divisor. For example, 23/20 = 1 with a remainder of 3, resulting in 1 3/20.

How does the calculator find the LCD? expand_more

It performs prime factorization on each denominator. The Lowest Common Denominator (LCD) is formed by taking the highest power of every prime that appears across all denominators.

Converting repeating decimals to fractions? expand_more

Repeating patterns like 0.333... can be set as an algebraic equation 10x - x = 3, yielding x = 3/9 = 1/3. For mixed repeating decimals, SolveCalc automates the fractional matrix algebra instantly.

Can I print my step-by-step solutions? expand_more

Yes! Click the print icon above the derivation workbench or hit Ctrl+P / Cmd+P to generate a clean, classroom-ready worksheet showing every derivation stage with zero display clutter.

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