What is 4/16 plus 3/4? (Answer: 1)

Exact Answer

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Problem: What is 4/16 plus 3/4?
Formula / Expression: 4/16 + 3/4
Final Answer: 1
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 16 is an exact multiple of 4 (4 × 4 = 16). The Least Common Denominator (LCD) is simply 16, meaning we only need to scale one fraction.
Working: LCD(16, 4) = 16

Step 2: Convert to Equivalent Fractions with Common Denominator 16
Multiply the numerator and denominator of 4/16 by 1, and multiply the numerator and denominator of 3/4 by 4 so both fractions share the common base 16.
Working: 4 × 1/16 × 1 = 4/16 and 3 × 4/4 × 4 = 12/16

Step 3: Add the Numerators
Now add the numerators (4 + 12 = 16) and keep the common denominator 16 unchanged.
Working: 4 + 12/16 = 16/16

Step 4: Simplify to an Exact Whole Number
Notice that the numerator (16) is completely divisible by the denominator (16). Dividing 16 by 16 yields the whole number 1 with zero remainder.
Working: 16/16 = 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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4/16 + 3/4 = 1

Simplified Fraction

Mixed Number

Decimal Value

Percentage

100%

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Step-by-Step Solution: 4/16 + 3/4

Step 1

Find the Least Common Denominator (LCD)

Notice that 16 is an exact multiple of 4 (4 × 4 = 16). The Least Common Denominator (LCD) is simply 16, meaning we only need to scale one fraction.

LCD(16, 4) = 16

Step 2

Convert to Equivalent Fractions with Common Denominator 16

Multiply the numerator and denominator of 4/16 by 1, and multiply the numerator and denominator of 3/4 by 4 so both fractions share the common base 16.

4 × 1/16 × 1 = 4/16 and 3 × 4/4 × 4 = 12/16

Step 3

Add the Numerators

Now add the numerators (4 + 12 = 16) and keep the common denominator 16 unchanged.

4 + 12/16 = 16/16

Step 4

Simplify to an Exact Whole Number

Notice that the numerator (16) is completely divisible by the denominator (16). Dividing 16 by 16 yields the whole number 1 with zero remainder.

16/16 = 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 4/16 plus 3/4 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 4/16 plus 3/4 as a fraction?

4/16 + 3/4 in simplest fraction form is 1.

What is 4/16 plus 3/4 as a decimal?

4/16 + 3/4 converted to a decimal is 1.

What is 4/16 plus 3/4 as a percentage?

4/16 + 3/4 expressed as a percentage is 100%.

Is the answer to 4/16 plus 3/4 a whole number?

Yes, 4/16 + 3/4 simplifies completely to the whole number 1 with no remaining fractional part.