What Are Equivalent To Fractions?

A fraction is a portion of the total. The numerator and denominator are the two components of a fraction. Equivalent fractions have the same absolute value but a distinct numerator and denominator. 2/4 and 5/10, for example, are both equivalent to 1/2. As a result, 2/4 and 5/10 are referred to as equivalent fractions.

Fractions

Fractions are numbers that have the form a/b, where a and b are non-zero integers. Fractions include 2/4, 5/10, 1/4, 3/17, and so on. If a number is split into seven equal pieces. Four of the seven equal sections are shaded. As a result, the darkened area represents four-sevenths. It is represented numerically as 4/7. Four-sevenths is a fraction, therefore 4/7 is a fractional number.

Types of Fractions

There exist a few different types of fractions, let us go through them all.

Proper Fractions: A fraction in which the numerator is smaller than the denominator is known as a proper fraction. Proper fractions include numbers like 2/4, 5/10, 1/4, 3/17, and so on. It’s worth noting that each proper fraction is less than one.

Improper Fractions: A fraction in which the numerator is larger than the denominator is known as an improper fraction. Improper fractions include 5/4, 13/10, 11/7, 23/17, and so on.

Mixed Fractions: A mixed fraction is a mixture of a whole number and a proper fraction. Mixed fractions include numbers like 1

and so on.

Like Fractions: Like fractions are a set of two or more fractions with the same denominators.

Unlike Fractions: Unlike Fractions are a group of two or more fractions having distinct denominators. 1/2, 2/4, 3/5, 4/7, 5/8, and so on are all unlike fractions.

Unit fractions: A unit fraction is a fraction with a numerator of 1 and a denominator of a whole integer. Unit fractions include 1/2, 1/4, 1/5, 1/7, 1/8, and so forth. Note that the number 1 is also known as a unit fraction since it can be written as 1/1, and its numerator and denominator are both equal.

Equivalent Fractions

Equivalent fractions are ones that have the same value in their numerators and denominators regardless of their numerators and denominators. 1/2 = 2/4 = 3/6 = 4/8 = 5/10, Equivalent fractions are of these types of fractions. Multiplying a fraction’s numerator and denominator by the same non-zero number has no effect on the fraction’s value. Similarly, reducing a fraction’s numerator and denominator by the same non-zero number has no effect on the fraction’s value.

Rule of Equivalent Fractions

We multiply or divide the numerator and denominator of a given fraction by the same non-zero number to produce a fraction equivalent to the provided fraction. The equivalent fraction for 3/6 is, for example: 3/6 has a fraction equivalent of 3×2/6×2 = 6/12. another equivalent fraction for 3/6 is 3÷3/6÷3 = 1/2.

Methods for Evaluating if Two Fractions are Equivalent

To determine whether the provided fractions are equivalent, we must simplify them. It’s possible to simplify to produce equivalent fractions until both the numerator and denominator are non-zero integers. There are several techniques for determining whether or not the provided fractions are equivalent: Equalizing the denominators, converting both fractions to decimal form, The method of cross multiplication, and using the visual method.

Equalizing The Denominators

The fractions 3/9 and 6/18 have denominators of 9 and 18. The denominators 9 and 18 have the least common multiple LCM of 18. By multiplying the denominators of both fractions with appropriate values, the denominators of both fractions will now be 18. As a result, 3/9 = 3*2/9*2 = 6/18. Furthermore, 6/18=6*1/18*1 = 6/18

It’s worth noting that both fractions are equivalent to the same number, 6/18. As a result, the provided fractions are equivalent. Note that, If the fractions are not equivalent, the bigger or smaller fraction can be determined by examining the numerator of both resulting fractions. As a result, this approach may be used to compare fractions.

Converting Both Fractions To Decimal Form

We can now look up the decimal version of both fractions, 3/9 and 6/18, to see if they have the same value. We can observe that 3/9=0.33333… Furthermore, 6/18=0.33333… Both fractions have the same decimal value, which is 0.33333… As a result, fractions 3/9 and 6/18 are equivalent.

The Method Of Cross Multiplication

You can cross multiply two fractions in order to find out if they are equivalent. If we cross multiply 3/9 and 6/18, we’ll get 54 on both sides, making both the fraction equivalent.

Visual Method

Let us draw each of the fractions 1/3 and 2/6 on similar shapes so that we can see if the shaded sections of each are equal.

The shaded sections of both triangles are equal, as can be seen. As a result, the fractions supplied are equivalent fractions.