Equality of rational numbers with a common denominator means that two fractions are equal if their numerators are equal when the denominators are the same. let’s delve into the details of understanding the equality of rational numbers with a common denominator. Here’s a step-by-step explanation: Rational Numbers A rational number is any number that can […]

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Multiplying Exponents with Fractions – Rules – Examples Rules for Multiplying Exponents with Fractions If the exponent is in the fractional form, the fractional exponent rule is used. If the base of an expression is a fraction that is raised to an exponents, we use the same exponent rules that are used for bases that […]

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Subtraction of Rational Numbers Subtraction of rational numbers involves finding the difference between two rational numbers. A rational number is a number that can be expressed as a fraction a/b, where a and b are integers, and b≠0. Steps to Subtract Rational Numbers: 1. Find a Common Denominator: If the denominators of the rational numbers […]

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Rational Numbers – Subtraction In this tutorial, we will learn the operation of subtraction of rational numbers. If we add the additive inverse of a rational number and other rational number then this is called subtraction of two rational numbers. Subtraction is inverse process of addition. If a/b and c/d are two rational numbers, then […]

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Rational Numbers – Addition In this tutorial, we will learn the operation of addition of rational numbers. In the process of addition of rational numbers there are two types of categories. (1) Addition of Rational Numbers with Same Denominator (2) Addition of Rational Numbers with Different Denominator (1) Addition of Rational Numbers with Same Denominator […]

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Multiplying Exponents with Difference Bases and Difference Powers When exponents with different bases and different powers are multiplied, so each exponent is evaluated separately and then multiplied. Mathematically it can be written as, am x bn = (a)m x (b)n  Let two exponents with different bases and powers is am and bⁿ. Here a and b are the different bases […]

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Dividing Mixed Fractions With Examples Let us see the steps to divide a given mixed fraction by a mixed fraction with an example. Example: Divide 3 2/4 ÷ 4 1/5 Step 1: Convert each mixed fraction into improper fraction. 3 2/4 ÷ 4 1/5 3 2/4 = 14/4 and 4 1/5 = 21/5 Now problem […]

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Algebraic Fractions – Multiplication Multiplying Algebraic Fractions How to Multiply Fractions? When multiplying fractions, multiply the numerators(top numbers) with denominators(bottom numbers). Multiplication of fractions is not like as the addition and subtraction of fractions. When we solve the addition and subtraction of fractions the denominators should be same, but in any two fractions with different […]

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Addition of Unlike Fraction(Different Denominators) Adding Fractions With Different denominators We learned how to add like fractions(same denominators). In this tutorial we will learn addition of fractions with different denominators. When denominators are different the fractions are called unlike fractions. When we add unlike fractions, first we convert them to like fractions by finding the […]

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Fractions Multiplication with Common Denominators Fractions that have common denominators are known as like fractions. Addition and subtraction of like fractions are different from addition and subtraction of unlike fractions, but the method of multiplication of like fractions and unlike fractions are same. Multiplying fractions with like denominators is same as multiplication of unlike fractions. […]

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