What is 7/12 plus 3/4?
7/12 plus 3/4 equals 4/3 (or 1 1/3 as a mixed number) (or 1.333333 in decimal form). Learn the step-by-step solution to add 7/12 and 3/4 using Least Common Denominator and simplification.
Exact Answer
7/12 + 3/4 = 4/3
Simplified Fraction
4/3
Mixed Number
1 1/3
Decimal Value
1.333333
Percentage
133.3333%
Step-by-Step Solution: 7/12 + 3/4
Step 1
Find the Least Common Denominator (LCD)
Notice that 12 is an exact multiple of 4 (4 × 3 = 12). The Least Common Denominator (LCD) is simply 12, meaning we only need to scale one fraction.
LCD(12, 4) = 12
Step 2
Convert to Equivalent Fractions with Common Denominator 12
Multiply the numerator and denominator of 7/12 by 1, and multiply the numerator and denominator of 3/4 by 3 so both fractions share the common base 12.
7 × 1/12 × 1 = 7/12 and 3 × 3/4 × 3 = 9/12
Step 3
Add the Numerators
Now add the numerators (7 + 9 = 16) and keep the common denominator 12 unchanged.
7 + 9/12 = 16/12
Step 4
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 16 and 12, which is 4. Divide both the numerator and denominator by 4.
16 ÷ 4/12 ÷ 4 = 4/3
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (4) is greater than the denominator (3), divide 4 by 3: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/3.
4/3 = 11/3
Step 6
Decimal & Percentage Representation
Dividing the numerator 4 by denominator 3 produces a repeating decimal (approximately 1.333333, or 133.3333%).
4 ÷ 3 = 1.333333 (133.3333%)
Visual Representation
The diagram below illustrates 7/12 plus 3/4 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/3 |
| Mixed Number Form | 1 1/3 |
| Decimal Form | 1.333333 |
| Percentage | 133.3333% |
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Frequently Asked Questions
What is 7/12 plus 3/4 as a fraction?
7/12 + 3/4 in simplest fraction form is 4/3 (or 1 1/3 as a mixed number).
What is 7/12 plus 3/4 as a decimal?
7/12 + 3/4 converted to a decimal is 1.333333.
What is 7/12 plus 3/4 as a percentage?
7/12 + 3/4 expressed as a percentage is 133.3333%.
How do you write 7/12 plus 3/4 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 4/3 can be written as the mixed number 1 1/3.
Does 7/12 plus 3/4 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 1.333333...) because the denominator contains prime factors other than 2 and 5.