fraction and decimals

​Fraction (2)

By Ada chen

Multiple Choice

The top number of a fraction is called the __________.

• factor
• numerator
• denominator
• multiple

Multiple Choice

The bottom number of a fraction is called the __________.

• factor
• numerator
• denominator
• divisor

Multiple Choice

What fraction is represented with an 'x' on the number line?

• 1/8
• 2/9
• 1/9
• 1/4

Multiple Choice

Which mixed number is represented by the model?

• 3    1/4
• 3   4/1
• 3    3/4
• 4    1/4

Multiple Choice

What Improper Fraction is represented by the model below?

• 1 3/4

• 3 1/4

• 13/4

• 13/16

Multiple Choice

Look at the picture. Is it a mixed number or an improper fraction?

• Mixed number
• Improper fraction

Multiple Choice

Write the improper fraction as a mixed number

²⁷/₈

• 3 ²/₈

• 4 ³/₈

• 8 ³/₄

• 3 ³/₈

Multiple Choice

Write the improper fraction as a mixed number

²²/₃

• 7 ²/₃

• 7 ¹/₃

• 7 ¹/₄

• 7 ³/₄

Multiple Choice

Solve

• 24/27
• 34/27
• 6/12

Multiple Choice

3 1/7 + 2 4/7=

• 5 5/14

• 5 5/7

• 6 1/7

Multiple Choice

6 2/8 + 5 3/4

• 11 8/8

• 12

• 11 5/12

Multiple Choice

• 6   4/10
• 6
• 12    8/10
• 5    8/10

Multiple Choice

5  - 2  3/4

• 2  2/4
• 3  3/4
• 2  1/4

Multiply Fractions

• ​Multiply the numerators

• ​Multiply the denominators

• ​Simplify if possible.

• ​Both are even, so divide each by 2.

​

​You can simplify BEFORE you multiply by finding "buddies" with common factors.

Multiple Choice

$$\frac{4}{5}\times\frac{5}{6}$$   Remember to simplify.

• $$\frac{9}{11}$$  

• $$\frac{2}{3}$$  

• $$\frac{20}{30}$$  

• $$\frac{4}{6}$$  

Multiple Choice

$$\frac{1}{3}\times\frac{2}{3}$$   Remember to simplify.

• $$\frac{2}{9}$$  

• $$\frac{2}{3}$$  

• $$\frac{3}{6}$$  

• $$\frac{3}{9}$$  

Multiple Choice

$$15\times\frac{3}{5}$$   Remember to simplify.

• $$\frac{18}{5}$$  

• $$\frac{45}{5}$$  

• 9

• $$5\frac{1}{5}$$  

Multiple Choice

$$6\times\frac{1}{8}$$   Remember to simplify.

• $$\frac{3}{4}$$  

• $$\frac{6}{8}$$  

• 6

• $$6\frac{1}{8}$$  

​To Multiply mixed numbers:

* change mixed numbers to improper fractions

(multiply and add)

​

​* simplify if possible

​

​* multiply numerators

​

​* multiply denominators

​

​* simplify your answer.

Multiple Choice

$$5\frac{1}{3}\ \times3\text{ }\frac{3}{4}$$  

• 9

• $$15\ \frac{1}{4}$$  

• $$\frac{15}{4}$$  

• 20

Multiple Choice

$$1\frac{1}{4}\ \times5\text{ }\frac{2}{5}$$  

• 4

• $$6\ \frac{3}{4}$$  

• $$5\ \frac{1}{10}$$  

• 100

Dividing Fractions

Multiply by the reciprocal (keep, change, flip)

Must be a fraction divided by a fraction

Dividing Fractions Steps

• Find the reciprocal (flip the second fraction)

• Change the division sign to multiplication

• Multiply the numerators

• Multiply the denominators

• Simplify

Multiple Choice

$$\frac{3}{4\ }\div\ \frac{7}{8}$$  

• 32/21

• 21/32

• 6/7

• 3/4

Multiple Choice

$$\frac{4}{8\ }\div\ 4$$  

• 1/2

• 1/8

• 16/32

• 1/4

Multiple Choice

Which of these can help you remember how to divide fractions?

• keep, change, opposite

• keep, change, flip (reciprocal)

• keep, keep, change

• keep, keep, opposite

Multiple Choice

What is the value of the expression?
¼ ÷ 7

• 28
• 7/4
• 1/4
• 1/28

Multiple Choice

1 ¼ × 2 ¾ =

• 3 ⁷/₁₆
• 1 ¹/₂
• 2 ³/₁₆
• 4 ¹/₄

Multiple Choice

• 2  ¹/₅
• 2  ⁴/₁₅
• 6  ⁸/₁₅
•   1  ¹/₅

Multiple Choice

$$1\ \frac{2}{3}\div2\ \frac{1}{3}$$  

• $$3\ \frac{8}{9}$$  

• $$2\ \frac{2}{9}$$  

• $$\frac{5}{7}$$  

• $$\frac{4}{5}$$  

Multiple Choice

Divide.  Write answer in simplest form.

• 187/48
• 22/25
• 44/51
• 88/102

10.7 To do list

• 学习新内容 （30mins) 记得做笔记

• 折东南西北 （10mins)

• 桌游 （20mins)

• 复习纸（15-20mins)

• IXL jam （20mins）一周作业布置

• 校内作业整理

Decimals, Fractions and Percentages

小数
分数
百分数

Multiple Choice

decimal

• 分数

• 小数

• 百分数

• 小小数

Multiple Choice

percentage

• 分数

• 小数

• 百分数

• 千分数

Decimals, Fractions and Percentages are just different ways of showing the same value:

From Percentage to Decimal

• To convert from percentage to decimal divide by 100 and remove the % sign.

• An easy way to divide by 100 is to move the decimal point 2 places to the left:

Multiple Choice

Convert 23 % into decimals

• 2.3

• 0.23

• 0.023

• 23.0

Multiple Choice

Convert 18 % into decimals

• 1.8

• 0.18

• 0.018

• 18.0

Multiple Choice

Convert 9 % into decimals

• 9

• 0.9

• 0.09

• 90.0

From Decimal to Percentage

• To convert from decimal to percentage multiply by 100%

• An easy way to multiply by 100 is to move the decimal point 2 places to the right:

Multiple Choice

Convert 0.27 into percentage

• 2 %

• 2.7 %

• 27 %

• 270 %

Multiple Choice

Convert 0.58 into percentage

• 5 %

• 5.8 %

• 58 %

• 580 %

Multiple Choice

Convert 0.90 into percentage

• 9 %

• 9.0 %

• 90 %

• 900 %

From Fraction to Percentage

WRITE DOWN ON

A PIECE OF PAPER.

MEMORIZE IT!

Multiple Choice

Write in percentage

• 7%

• 70%

• 0.7%

Multiple Choice

1/4 =( )%

• 20

• 25

• 30

• 50

Multiple Choice

3/4=( )%

• 50

• 70

• 75

• 80

Multiple Choice

Convert to percentage

• 12%

• 25%

• 48%

• 50%

Multiple Choice

Give the percentage for the picture

• 50%

• 25%

• 250%

Multiple Choice

What is the percent of the shaded portion of the figure??

• 20 %
• 60%
• 80%
• .60%

From Percentage to Fraction

• To convert a percentage to a fraction

• first convert to a decimal (divide by 100),

• Then multiply top and bottom by 10 for every number after the decimal point (10 for 1 number,100 for 2 numbers, etc)

Multiple Choice

Convert the decimal 0.875 to a percent

• 0.875%

• 8.75%

• 87.5%

• 875%

Multiple Choice

Convert the decimal 4.025 to a percent.

• 0.4025%

• 4.025%

• 40.25%

• 402.5%

Multiple Choice

Convert 18.75% to a decimal

• 0.001875

• 0.1875

• 0.01875

• 1.875

Multiple Choice

$$Express\ \frac{5}{8}\ as\ a\ percentage$$  

• 58%

• 625%

• 62.5%

• 60.25%

Multiple Choice

$$Express\ \frac{17}{25}\ as\ a\ percentage$$  

• 34%

• 68%

• 51%

• 85%

Multiple Choice

Express 5% as a fraction

• $$\frac{1}{5}$$

• $$\frac{1}{20}$$

• $$\frac{2}{5}$$

• $$\frac{1}{2}$$

Multiple Choice

Express 32% as a fraction

• $$\frac{3}{10}$$

• $$\frac{17}{50}$$

• $$\frac{9}{25}$$

• $$\frac{8}{25}$$

Multiple Choice

Convert 3.5% to a decimal

• 0.0035

• 0.035

• 0.35

• 3.5