What is 4/10 plus 3/5? (Answer: 1)

Exact Answer

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Problem: What is 4/10 plus 3/5?
Formula / Expression: 4/10 + 3/5
Final Answer: 1
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 10 is an exact multiple of 5 (5 × 2 = 10). The Least Common Denominator (LCD) is simply 10, meaning we only need to scale one fraction.
Working: LCD(10, 5) = 10

Step 2: Convert to Equivalent Fractions with Common Denominator 10
Multiply the numerator and denominator of 4/10 by 1, and multiply the numerator and denominator of 3/5 by 2 so both fractions share the common base 10.
Working: 4 × 1/10 × 1 = 4/10 and 3 × 2/5 × 2 = 6/10

Step 3: Add the Numerators
Now add the numerators (4 + 6 = 10) and keep the common denominator 10 unchanged.
Working: 4 + 6/10 = 10/10

Step 4: Simplify to an Exact Whole Number
Notice that the numerator (10) is completely divisible by the denominator (10). Dividing 10 by 10 yields the whole number 1 with zero remainder.
Working: 10/10 = 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:
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4/10 + 3/5 = 1

Simplified Fraction

Mixed Number

Decimal Value

Percentage

100%

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Step-by-Step Solution: 4/10 + 3/5

Step 1

Find the Least Common Denominator (LCD)

Notice that 10 is an exact multiple of 5 (5 × 2 = 10). The Least Common Denominator (LCD) is simply 10, meaning we only need to scale one fraction.

LCD(10, 5) = 10

Step 2

Convert to Equivalent Fractions with Common Denominator 10

Multiply the numerator and denominator of 4/10 by 1, and multiply the numerator and denominator of 3/5 by 2 so both fractions share the common base 10.

4 × 1/10 × 1 = 4/10 and 3 × 2/5 × 2 = 6/10

Step 3

Add the Numerators

Now add the numerators (4 + 6 = 10) and keep the common denominator 10 unchanged.

4 + 6/10 = 10/10

Step 4

Simplify to an Exact Whole Number

Notice that the numerator (10) is completely divisible by the denominator (10). Dividing 10 by 10 yields the whole number 1 with zero remainder.

10/10 = 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 4/10 plus 3/5 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 4/10 plus 3/5 as a fraction?

4/10 + 3/5 in simplest fraction form is 1.

What is 4/10 plus 3/5 as a decimal?

4/10 + 3/5 converted to a decimal is 1.

What is 4/10 plus 3/5 as a percentage?

4/10 + 3/5 expressed as a percentage is 100%.

Is the answer to 4/10 plus 3/5 a whole number?

Yes, 4/10 + 3/5 simplifies completely to the whole number 1 with no remaining fractional part.