Lessons

How do you convert a fraction like $1 \frac{2}{3}$ to an improper fraction? A mixed fraction is made up of a whole number and a fraction. To convert it into an improper fraction, follow this simple rule: Multiply the denominator by the whole number, then add the numerator. This sum becomes the new numerator. The denominator stays the same. Step-by-Step: Convert $1 \frac{2}{3}$ to an Improper Fraction Step 1: Identify the denominator The denominator is: $$ 3 $$ ...

How do you convert a fraction like $2 \frac{1}{3}$ to an improper fraction? A mixed fraction is made up of a whole number and a proper fraction. To convert it into an improper fraction, use this rule: Multiply the denominator by the whole number, then add the numerator. The result becomes the new numerator, and the denominator stays the same. Step-by-Step: Convert $2 \frac{1}{3}$ to an Improper Fraction Step 1: Identify the denominator The denominator of the fraction is: $$ 3 $$ ...

A prime number is a number that has exactly two factors: $1$ and itself. This article will show how to test whether $49$ is a prime number using a simple step-by-step method. What Is A Prime Number? A prime number has only two positive divisors: $$ \text{Factors of a prime number} = {1, \text{the number itself}} $$ If a number has more than two factors, then it is not prime. ...

A prime number is a number that has exactly two distinct positive factors: $1$ and itself. To determine if a number is prime, check whether any whole numbers other than $1$ and the number itself divide into it without leaving a remainder. In this guide, we’ll check if $37$ is prime using a fast step-by-step method. What Is A Prime Number? A prime number has only two factors: $$ \text{Factors of a prime number} = {1, \text{the number itself}} $$ ...

How Do You Divide 58 by 3? Let’s use the short division method to find: $$ \frac{58}{3} $$ Understand the Terms Dividend: 58 (the number being divided) Divisor: 3 (the number you are dividing by) Quotient: the whole number result Remainder: the part left over (if any) Step-by-Step Division of 58 ÷ 3 Step 1: Divide 3 into 5 $$ 5 \div 3 = 1 \text{ remainder } 2 $$ ...

Factors are numbers that divide evenly into another number without leaving a remainder. A factor can never be greater than the original number. To find the factors of a number quickly: Start with $1$ and the number itself. Try dividing the number by each integer from $2$ upwards. If the division leaves no remainder, add both the divisor and quotient to the factor list. Stop once the divisor exceeds $\sqrt{n}$. Step-by-Step: Factors of 27 We start with: $$ 1, \quad 27 $$ ...

A prime number is a number that has exactly two positive factors: $1$ and itself. If no other positive integers divide evenly into it, the number is considered prime. This article explains how to determine if $43$ is prime using a simple step-by-step method. What Is A Prime Number? A prime number has exactly two factors: $$ \text{Factors of a prime number} = {1, \text{the number itself}} $$ If we discover any additional factor, the number is not prime. ...

Factors are numbers that divide evenly into another number without leaving a remainder. A factor is never greater than the original number. To find the factors of a number quickly: Start at $1$ — which divides every whole number. Increment your divisor and ask: Does this divide the number exactly? If yes, record both the divisor and its quotient. Stop once you reach or exceed the square root of the number. Step-by-Step: Factors of 45 Begin with: $$ 1, \quad 45 $$ ...

What Is Division? Division answers the question: How many times does one number fit into another? In any division problem, we work with: Dividend — the number being divided Divisor — the number you divide by Quotient — the result of the division Remainder — what’s left over (if any) Example: What Is $1000 \div 5$? In this case: Dividend = $1000$ Divisor = $5$ We’ll use the short division method to solve this. ...

What Is 63 Divided By 3? Let’s use the short division method to solve $63 \div 3$ and verify the answer. Understanding the Terms Dividend: $63$ (the number being divided) Divisor: $3$ (the number dividing the dividend) Quotient: the result of the division Remainder: what is left over after dividing Step-by-Step: $63 \div 3$ Step 1: Divide $3$ into $6$ $$ 6 \div 3 = 2 $$ Write $2$ above the $6$. ...