What is 48/42 Simplified? (Reduce 48/42 to Lowest Terms: 8/7)

Exact Answer

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Problem: Simplify 48/42 to Lowest Terms
Formula / Expression: 48/42 = 8/7
Final Answer: 1 1/7 (8/7)
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Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
• Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
Working: GCD(48, 42) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (48) and denominator (42) by 6.
Working: 48 ÷ 6/42 ÷ 6 = 8/7

Step 3: Convert Improper Fraction to a Mixed Number
Because 8 is larger than 7, 8/7 can also be written as the mixed number 1 1/7.
Working: 8/7 = 1 1/7

Key Values:
- Simplified Fraction: 8/7
- Mixed Number Form: 1 1/7
- Decimal Value: 1.142857
- Percentage: 114.2857%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-48-42/
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48/42 = 8/7

Simplified Fraction

8/7

Mixed Number

1 1/7

Decimal Value

1.142857

Percentage

114.2857%

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Step-by-Step Solution: 48/42 = 8/7

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
• Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

GCD(48, 42) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (48) and denominator (42) by 6.

48 ÷ 6/42 ÷ 6 = 8/7

Step 3

Convert Improper Fraction to a Mixed Number

Because 8 is larger than 7, 8/7 can also be written as the mixed number 1 1/7.

8/7 = 11/7

Visual Representation

The diagram below illustrates Simplify 48/42 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/7`
Mixed Number Form	`1 1/7`
Decimal Form	`1.142857`
Percentage	`114.2857%`

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Frequently Asked Questions

What is 48/42 in simplest form?

48/42 simplified to lowest terms is 8/7.

What is the GCD (GCF) of 48 and 42?

The Greatest Common Divisor (GCD) of 48 and 42 is 6.

What are equivalent fractions to 48/42?

Equivalent fractions to 48/42 include 16/14, 24/21, and 32/28.