Chinese Lunar New Year celebrates family, health and prosperity. It is the holiday which involves the most travel in the world, as it is the time when whole families come together. Approximately 1 6 of the world's population celebrates the Chinese New Year in many countries around the world. How many people is this? [Consider world population 7 . 79 billion]

Given, World population = 7 . 79 billion = 7795 million The fraction of people celebrates the Chinese New Year = 1 6 Thus, the number of people celebrates the Chinese New Year = Fraction of people celebrates the Chinese New Year × Total population = 1 6 × 7795 million = 1299 . 167 million = 1 . 3 billion Hence, the number of people celebrates the Chinese New Year is 1 . 3 billion.

A typical ancestry report might look like this, Country Approximate amount Algeria 1 20 Morocco 1 100 Benin 1 25 Cameroon 7 100 Spain 7 50 Portugal 1 4 Italy 6 25 England 1 5 Order the countries from lowest to highest by finding a common denominator.

Given, Country Approximate amount Algeria 1 20 Morocco 1 100 Benin 1 25 Cameroon 7 100 Spain 7 50 Portugal 1 4 Italy 6 25 England 1 5 First we need to find the LCM of the denominators as the denominators are not equal. LCM of 20 , 100 , 25 , 100 , 50 , 4 , 25 , 5 is , 2 20 , 100 , 25 , 100 , 50 , 4 , 25 , 5 2 10 , 50 , 25 , 50 , 25 , 2 , 25 , 5 5 5 , 25 , 25 , 25 , 25 , 1 , 25 , 5 5 1 , 5 , 5 , 5 , 5 , 1 , 5 , 1 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 Thus, LCM of 20 , 100 , 25 , 100 , 50 , 4 , 25 , 5 = 2 × 2 × 5 × 5 = 100 Now, each fraction is converted to its equivalent fraction with denominator equal to the LCM. Thus, 1 20 = 1 × 5 20 × 5 = 5 100 1 100 = 1 × 1 100 × 1 = 1 100 1 25 = 1 × 4 25 × 4 = 4 100 7 100 = 7 × 1 100 × 1 = 7 100 7 50 = 7 × 2 50 × 2 = 14 100 1 4 = 1 × 25 4 × 25 = 25 100 6 25 = 6 × 4 25 × 4 = 24 100 1 5 = 1 × 20 5 × 20 = 20 100 We know that when denominators are equal, we need to compare the numerators. Here, 1 < 4 < 5 < 7 < 14 < 20 < 24 < 25 Hence, the order of the countries from lowest to highest, Morocco, Benin, Algeria, Cameroon, Spain, England, Italy, Portugal.

A typical ancestry report might look like this, Country Approximate amount Algeria 1 20 Morocco 1 100 Benin 1 25 Cameroon 7 100 Spain 7 50 Portugal 1 4 Italy 6 25 England 1 5 Order the countries from lowest to highest by converting them into percentages % .

Given, Country Approximate amount Algeria 1 20 Morocco 1 100 Benin 1 25 Cameroon 7 100 Spain 7 50 Portugal 1 4 Italy 6 25 England 1 5 We know that to convert fraction into percentage, we multiply the fraction by 100 . Thus, 1 20 = 1 20 × 100 = 5 % 1 100 = 1 100 × 100 = 1 % 1 25 = 1 25 × 100 = 4 % 7 100 = 7 100 × 100 = 7 % 7 50 = 7 50 × 100 = 14 % 1 4 = 1 4 × 100 = 25 % 6 25 = 6 25 × 100 = 24 % 1 5 = 1 5 × 100 = 20 % We know that when denominators are equal, we need to compare the numerators. Here, 1 % < 4 % < 5 % < 7 % < 14 % < 20 % < 24 % < 25 % Hence, the order of the countries from lowest to highest, Morocco, Benin, Algeria, Cameroon, Spain, England, Italy, Portugal.

David Weber, Talei Kunkel, Harriet Simand and, Justin Medved Solutions for Chapter: Fractions Human Connections, Exercise 6: Practice 1

Author:David Weber, Talei Kunkel, Harriet Simand & Justin Medved

David Weber Mathematics Solutions for Exercise - David Weber, Talei Kunkel, Harriet Simand and, Justin Medved Solutions for Chapter: Fractions Human Connections, Exercise 6: Practice 1

Attempt the practice questions on Chapter 5: Fractions Human Connections, Exercise 6: Practice 1 with hints and solutions to strengthen your understanding. MYP Mathematics A concept-based approach 1 solutions are prepared by Experienced Embibe Experts.

Questions from David Weber, Talei Kunkel, Harriet Simand and, Justin Medved Solutions for Chapter: Fractions Human Connections, Exercise 6: Practice 1 with Hints & Solutions

MEDIUM

MYP:1

IMPORTANT

MYP Mathematics A concept-based approach 1>Chapter 5 - Fractions Human Connections>Practice 1>Q 5

Using the symbols $<$ or $>$ , compare the following fraction after representing them in decimal form.

$\frac{10}{13}, \frac{7}{11}$

EASY

MYP:1

IMPORTANT

MYP Mathematics A concept-based approach 1>Chapter 5 - Fractions Human Connections>Practice 1>Q 7

Chinese Lunar New Year celebrates family, health and prosperity. It is the holiday which involves the most travel in the world, as it is the time when whole families come together. Approximately $\frac{1}{6}$ of the world's population celebrates the Chinese New Year in many countries around the world. How many people is this? [Consider world population $7.79$ billion]

EASY

MYP:1

IMPORTANT

MYP Mathematics A concept-based approach 1>Chapter 5 - Fractions Human Connections>Practice 1>Q 7

Chinese New Year, also known as Spring Festival, is celebrated over $15$ days. What fraction of the calendar year is the duration of this festival? [Consider one year $= 365$ days]

EASY

MYP:1

IMPORTANT

MYP Mathematics A concept-based approach 1>Chapter 5 - Fractions Human Connections>Practice 1>Q 7

The Chinese zodiac follows a $12 -$ year cycle, with each year represented by one of the $12$ animals from the Chinese zodiac. Your birth year corresponds to one of these $12$ animals. If average life expectancy is approximately $80$ years, approximately what fraction of a person's lifetime will be spent in the years of their Chinese zodiac sign?

HARD

MYP:1

IMPORTANT

MYP Mathematics A concept-based approach 1>Chapter 5 - Fractions Human Connections>Practice 1>Q 7

Many of China's people work in big cities and travel back to their home town for Spring Festival. For some people, it is the only time in the year when they will visit their families. The modes of transportation taken by these people break down as follows:

$\frac{7}{60}$ by rail, $\frac{3}{200}$ by boat, $\frac{1}{50}$ by airplane, $\frac{5}{6}$ by road.

Rank the modes of transportation from most to least popular.

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IMPORTANT

MYP Mathematics A concept-based approach 1>Chapter 5 - Fractions Human Connections>Practice 1>Q 7

$\frac{7}{60}$ by rail, $\frac{3}{200}$ by boat, $\frac{1}{50}$ by airplane, $\frac{5}{6}$ by road.

If there were approximately $3$ billion trips altogether, how many trips were taken by each mode of transportation?

HARD

MYP:1

IMPORTANT

MYP Mathematics A concept-based approach 1>Chapter 5 - Fractions Human Connections>Practice 1>Q 8

A typical ancestry report might look like this,

Country	Approximate amount
Algeria	$\frac{1}{20}$
Morocco	$\frac{1}{100}$
Benin	$\frac{1}{25}$
Cameroon	$\frac{7}{100}$
Spain	$\frac{7}{50}$
Portugal	$\frac{1}{4}$
Italy	$\frac{6}{25}$
England	$\frac{1}{5}$

Order the countries from lowest to highest by finding a common denominator.

MEDIUM

MYP:1

IMPORTANT

MYP Mathematics A concept-based approach 1>Chapter 5 - Fractions Human Connections>Practice 1>Q 8

A typical ancestry report might look like this,

Country	Approximate amount
Algeria	$\frac{1}{20}$
Morocco	$\frac{1}{100}$
Benin	$\frac{1}{25}$
Cameroon	$\frac{7}{100}$
Spain	$\frac{7}{50}$
Portugal	$\frac{1}{4}$
Italy	$\frac{6}{25}$
England	$\frac{1}{5}$

Order the countries from lowest to highest by converting them into percentages $(%)$ .

David Weber, Talei Kunkel, Harriet Simand and, Justin Medved Solutions for Chapter: Fractions Human Connections, Exercise 6: Practice 1

David Weber Mathematics Solutions for Exercise - David Weber, Talei Kunkel, Harriet Simand and, Justin Medved Solutions for Chapter: Fractions Human Connections, Exercise 6: Practice 1

Questions from David Weber, Talei Kunkel, Harriet Simand and, Justin Medved Solutions for Chapter: Fractions Human Connections, Exercise 6: Practice 1 with Hints & Solutions

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