What is 8/60 plus 8/21? (Answer: 18/35)

Exact Answer

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Problem: What is 8/60 plus 8/21?
Formula / Expression: 8/60 + 8/21
Final Answer: 18/35
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 60 and 21 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 420 (which is smaller than their product 60 × 21 = 1260, keeping the calculation simpler).
Working: LCD(60, 21) = 420

Step 2: Convert to Equivalent Fractions with Common Denominator 420
Multiply the numerator and denominator of 8/60 by 7, and multiply the numerator and denominator of 8/21 by 20 so both fractions share the common base 420.
Working: 8 × 7/60 × 7 = 56/420 and 8 × 20/21 × 20 = 160/420

Step 3: Add the Numerators
Now add the numerators (56 + 160 = 216) and keep the common denominator 420 unchanged.
Working: 56 + 160/420 = 216/420

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 216 and 420, which is 12. Divide both the numerator and denominator by 12.
Working: 216 ÷ 12/420 ÷ 12 = 18/35

Step 5: Decimal & Percentage Representation
Dividing the numerator 18 by denominator 35 produces a repeating decimal (approximately 0.514286, or 51.4286%).
Working: 18 ÷ 35 = 0.514286 (51.4286%)

Key Values:
- Simplified Fraction: 18/35
- Mixed Number Form: 18/35
- Decimal Value: 0.514286
- Percentage: 51.4286%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-8-60-plus-8-21/
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8/60 + 8/21 = 18/35

Simplified Fraction

18/35

Mixed Number

Proper (18/35)

Decimal Value

0.514286

Percentage

51.4286%

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Step-by-Step Solution: 8/60 + 8/21

Step 1

Find the Least Common Denominator (LCD)

The denominators 60 and 21 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 420 (which is smaller than their product 60 × 21 = 1260, keeping the calculation simpler).

LCD(60, 21) = 420

Step 2

Convert to Equivalent Fractions with Common Denominator 420

Multiply the numerator and denominator of 8/60 by 7, and multiply the numerator and denominator of 8/21 by 20 so both fractions share the common base 420.

8 × 7/60 × 7 = 56/420 and 8 × 20/21 × 20 = 160/420

Step 3

Add the Numerators

Now add the numerators (56 + 160 = 216) and keep the common denominator 420 unchanged.

56 + 160/420 = 216/420

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 216 and 420, which is 12. Divide both the numerator and denominator by 12.

216 ÷ 12/420 ÷ 12 = 18/35

Step 5

Decimal & Percentage Representation

Dividing the numerator 18 by denominator 35 produces a repeating decimal (approximately 0.514286, or 51.4286%).

18 ÷ 35 = 0.514286 (51.4286%)

Visual Representation

The diagram below illustrates 8/60 plus 8/21 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`18/35`
Mixed Number Form	`18/35`
Decimal Form	`0.514286`
Percentage	`51.4286%`

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Frequently Asked Questions

What is 8/60 plus 8/21 as a fraction?

8/60 + 8/21 in simplest fraction form is 18/35.

What is 8/60 plus 8/21 as a decimal?

8/60 + 8/21 converted to a decimal is 0.514286.

What is 8/60 plus 8/21 as a percentage?

8/60 + 8/21 expressed as a percentage is 51.4286%.

Does 8/60 plus 8/21 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.514286...) because the denominator contains prime factors other than 2 and 5.