Category: 07. Convert between Fraction, Decimal & Percents

Introduction In this lesson, we solve real world problems involving conversion of fractions into percentages.Example 1 In a survey one in five people said they preferred a certain brand of fast food. Write this figure as a percentage. Solution Step 1: The fraction of people preferring a certain brand of fast food = 1515 Step 2:…

Introduction Consider any fraction with a denominator of 20, 25 or 50. Such fractions can be converted to fractions with a denominator of 100. Then it would be easy to write those fractions as percentages as shown below in examples. Rules to convert a fraction into a percentage with 20, 25 or 50 as denominator…

Introduction Sr.No Fraction Benchmark Percentage 1 110110 10% 2 1515 20% 3 1414 25% 4 1212 50% 5 3434 75% 6 1 100% Example 1 What percent of the grid is shaded? Choose the closest benchmark percent and fraction. Solution Step 1: We are given a 10 × 10 grid with 100 squares. The number…

Introduction Consider any fraction with a denominator of 4, 5 or 10. Such fractions can be converted to fractions with a denominator of 100. Then it would be easy to write those fractions as percentages as shown below in examples Rules to convert a fraction into a percentage with 4, 5 or 10 as denominator…

Introduction Any per cent can be written as a fraction with a denominator of 100 as follows x% = x100�100; 50% = 5010050100 Similarly, 8% = 81008100; 10% = 1010010100; 24% = 2410024100 and so on The fraction can be reduced to simplest form as follows 50% = 5010050100 We divide the numerator and the denominator with their highest common factor HCF���. Here…

Introduction In this lesson, we are solving real world problems related to conversion between percentages and decimals.Example 1 Lizzy bought some fabric that was 1.75 meters long. How could this be written as a fraction? Solution Step 1: To convert the decimal to a fraction we multiply and divide by 100 1.75=(1.75100)×100=(1.75×100)100=1751001.75=(1.75100)×100=(1.75×100)100=175100 Step 2: Reducing…

Introduction In this lesson, we convert between percentages and decimals. This means we solve problems involving converting both percentages into decimals and decimals into percentages as well. This involves shifting the decimal point two places either to the left or to the right and then dropping or adding the percent sign. Rules to convert a…

Introduction Benchmark percentages are rounded percentages that we often use. 1%, 10%, 25%, 3313%3313% and their multiples are some benchmark percentages We sometimes use a benchmark percentage that is close to a given percentage to estimate. Here are some common benchmark percentages and their fractional equivalents. S.No Fraction Benchmark Percentage 1 110110 10% 2 1515 20% 3…

Introduction In this lesson, we usually are given 10 × 10 grids having 100 squares. Some of these squares are shaded. We are asked to find the percentage of squares that are shaded. Rule for finding the percentage of shaded squares For example, if the number of shaded squares in a 10 × 10 grid…

Definition A percentage or percent for short is a fraction; a fraction that always has the denominator as 100. Because the denominator of a percent is always a 100, no matter what the numerator is, we replace 100 with the percent symbol % after the number. Rule for writing a percentage as a fraction with…