What is 2/4 plus 7/14? (Answer: 1)

Exact Answer

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Problem: What is 2/4 plus 7/14?
Formula / Expression: 2/4 + 7/14
Final Answer: 1
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 4 and 14 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 28 (which is smaller than their product 4 × 14 = 56, keeping the calculation simpler).
Working: LCD(4, 14) = 28

Step 2: Convert to Equivalent Fractions with Common Denominator 28
Multiply the numerator and denominator of 2/4 by 7, and multiply the numerator and denominator of 7/14 by 2 so both fractions share the common base 28.
Working: 2 × 7/4 × 7 = 14/28 and 7 × 2/14 × 2 = 14/28

Step 3: Add the Numerators
Now add the numerators (14 + 14 = 28) and keep the common denominator 28 unchanged.
Working: 14 + 14/28 = 28/28

Step 4: Simplify to an Exact Whole Number
Notice that the numerator (28) is completely divisible by the denominator (28). Dividing 28 by 28 yields the whole number 1 with zero remainder.
Working: 28/28 = 1

Step 5: Decimal & Percentage Representation
Dividing the numerator 1 by denominator 1 yields an exact terminating decimal of 1 (or 100%).
Working: 1 ÷ 1 = 1 (100%)

Key Values:
- Simplified Fraction: 1
- Mixed Number Form: 1
- Decimal Value: 1
- Percentage: 100%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-4-plus-7-14/
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2/4 + 7/14 = 1

Simplified Fraction

Mixed Number

Decimal Value

Percentage

100%

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Step-by-Step Solution: 2/4 + 7/14

Step 1

Find the Least Common Denominator (LCD)

The denominators 4 and 14 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 28 (which is smaller than their product 4 × 14 = 56, keeping the calculation simpler).

LCD(4, 14) = 28

Step 2

Convert to Equivalent Fractions with Common Denominator 28

Multiply the numerator and denominator of 2/4 by 7, and multiply the numerator and denominator of 7/14 by 2 so both fractions share the common base 28.

2 × 7/4 × 7 = 14/28 and 7 × 2/14 × 2 = 14/28

Step 3

Add the Numerators

Now add the numerators (14 + 14 = 28) and keep the common denominator 28 unchanged.

14 + 14/28 = 28/28

Step 4

Simplify to an Exact Whole Number

Notice that the numerator (28) is completely divisible by the denominator (28). Dividing 28 by 28 yields the whole number 1 with zero remainder.

28/28 = 1

Step 5

Decimal & Percentage Representation

Dividing the numerator 1 by denominator 1 yields an exact terminating decimal of 1 (or 100%).

1 ÷ 1 = 1 (100%)

Visual Representation

The diagram below illustrates 2/4 plus 7/14 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`1`
Mixed Number Form	`1`
Decimal Form	`1`
Percentage	`100%`

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Frequently Asked Questions

What is 2/4 plus 7/14 as a fraction?

2/4 + 7/14 in simplest fraction form is 1.

What is 2/4 plus 7/14 as a decimal?

2/4 + 7/14 converted to a decimal is 1.

What is 2/4 plus 7/14 as a percentage?

2/4 + 7/14 expressed as a percentage is 100%.

Is the answer to 2/4 plus 7/14 a whole number?

Yes, 2/4 + 7/14 simplifies completely to the whole number 1 with no remaining fractional part.