What is 2/4 plus 10/15? (Answer: 7/6)

Exact Answer

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Problem: What is 2/4 plus 10/15?
Formula / Expression: 2/4 + 10/15
Final Answer: 1 1/6 (7/6)
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 4 and 15 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 4 × 15 = 60.
Working: LCD(4, 15) = 60

Step 2: Convert to Equivalent Fractions with Common Denominator 60
Multiply the numerator and denominator of 2/4 by 15, and multiply the numerator and denominator of 10/15 by 4 so both fractions share the common base 60.
Working: 2 × 15/4 × 15 = 30/60 and 10 × 4/15 × 4 = 40/60

Step 3: Add the Numerators
Now add the numerators (30 + 40 = 70) and keep the common denominator 60 unchanged.
Working: 30 + 40/60 = 70/60

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 70 and 60, which is 10. Divide both the numerator and denominator by 10.
Working: 70 ÷ 10/60 ÷ 10 = 7/6

Step 5: Convert Improper Fraction to a Mixed Number
Since the numerator (7) is greater than the denominator (6), divide 7 by 6: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/6.
Working: 7/6 = 1 1/6

Step 6: Decimal & Percentage Representation
Dividing the numerator 7 by denominator 6 produces a repeating decimal (approximately 1.166667, or 116.6667%).
Working: 7 ÷ 6 = 1.166667 (116.6667%)

Key Values:
- Simplified Fraction: 7/6
- Mixed Number Form: 1 1/6
- Decimal Value: 1.166667
- Percentage: 116.6667%

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Solved with FractionsCalc:
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2/4 + 10/15 = 7/6

Simplified Fraction

7/6

Mixed Number

1 1/6

Decimal Value

1.166667

Percentage

116.6667%

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Step-by-Step Solution: 2/4 + 10/15

Step 1

Find the Least Common Denominator (LCD)

The denominators 4 and 15 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 4 × 15 = 60.

LCD(4, 15) = 60

Step 2

Convert to Equivalent Fractions with Common Denominator 60

Multiply the numerator and denominator of 2/4 by 15, and multiply the numerator and denominator of 10/15 by 4 so both fractions share the common base 60.

2 × 15/4 × 15 = 30/60 and 10 × 4/15 × 4 = 40/60

Step 3

Add the Numerators

Now add the numerators (30 + 40 = 70) and keep the common denominator 60 unchanged.

30 + 40/60 = 70/60

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 70 and 60, which is 10. Divide both the numerator and denominator by 10.

70 ÷ 10/60 ÷ 10 = 7/6

Step 5

Convert Improper Fraction to a Mixed Number

Since the numerator (7) is greater than the denominator (6), divide 7 by 6: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/6.

7/6 = 11/6

Step 6

Decimal & Percentage Representation

Dividing the numerator 7 by denominator 6 produces a repeating decimal (approximately 1.166667, or 116.6667%).

7 ÷ 6 = 1.166667 (116.6667%)

Visual Representation

The diagram below illustrates 2/4 plus 10/15 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/6`
Mixed Number Form	`1 1/6`
Decimal Form	`1.166667`
Percentage	`116.6667%`

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Frequently Asked Questions

What is 2/4 plus 10/15 as a fraction?

2/4 + 10/15 in simplest fraction form is 7/6 (or 1 1/6 as a mixed number).

What is 2/4 plus 10/15 as a decimal?

2/4 + 10/15 converted to a decimal is 1.166667.

What is 2/4 plus 10/15 as a percentage?

2/4 + 10/15 expressed as a percentage is 116.6667%.

How do you write 2/4 plus 10/15 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 7/6 can be written as the mixed number 1 1/6.

Does 2/4 plus 10/15 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.166667...) because the denominator contains prime factors other than 2 and 5.