S2 (2.4) L2 Fractions & Percentages.notebook December 02, 2014 Daily Practice 30.9.2014 Q1. 67.5 x 50 Q2. Round 67.22 to the nearest unit Q3. Work out the surface area of this cube Q4. Work out the volume of this cuboid Q5. £60 - £45.04 4cm 60cm 30cm 20cm Today we will be learning how to find a fraction of an amount. To find a fraction of an amount simply means to divide the amount by whatever the denominator of the fraction is. Examples: 1. Find of 365 2. Find 1 /8 of 220 3. Find 1 /9 of 2790 1 /5 Finding Fractions of Quantities 30.9.2014 Draw the following cross word box into your jotter, using the squares in your jotter as a guide and then complete it. Daily Practice 2.10.2014 The top of a fraction is called the numerator. The bottom of a fraction is called the denominator. To find a fraction of an amount where the top of the fraction > 1 *Divide by the bottom, multiply your answer by the top of the fraction* Examples: (i) Find 2 /3 of 33 (ii) Find 4 /7 of 2849 (iii) Find 3 /8 of 1604 Finding Fractions of Quantities 2.10.2014
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S2 (2.4) L2 Fractions & Percentages.notebook December 02, 2014
Daily Practice 30.9.2014
Q1. 67.5 x 50
Q2. Round 67.22 to the nearest unit
Q3. Work out the surface area of this cube
Q4. Work out the volume of this cuboid
Q5. £60 - £45.04
4cm
60cm30cm
20cm
Today we will be learning how to find a
fraction of an amount.
To find a fraction of an amount simply means to divide the amount
by whatever the denominator of the fraction is.
Examples:
1. Find of 365 2. Find 1/8 of 220 3. Find 1/9 of 2790 1/5
Finding Fractions of Quantities 30.9.2014
Draw the following cross word box into your jotter, using the
squares in your jotter as a guide and then complete it.
Daily Practice 2.10.2014
The top of a fraction is called the numerator.The bottom of a fraction is called the denominator.
To find a fraction of an amount where the top of the fraction > 1*Divide by the bottom, multiply your answer by the top of the fraction*
Examples:
(i) Find 2/3 of 33 (ii) Find 4/7 of 2849 (iii) Find 3/8 of 1604
Finding Fractions of Quantities 2.10.2014
S2 (2.4) L2 Fractions & Percentages.notebook December 02, 2014
1 2/3 of 15 2 3/4 of 16 3 3/7 of 14 4 3/5 of 35
5 4/9 of 27 6 3/4 of 28 7 6/7 of 49 8 2/5 of 15
9 6/7 of 56 10 3/5 of 10 11 8/9 of 18 12 3/4 of 20
13 2/7 of 28 14 3/8 of 24 15 5/6 of 18 16 7/9 of 36
Finding Fractions of Quantities 2.10.2014 Finding Fractions of Quantities 2.10.2014
Simplifying Fractions
Simplifying Fractions
To simplify a fraction, just divide top and bottom by a common factor.
To fully simplify it, divide by the HCF.
Examples: Simplify the following fractions
(a) (b) (c) (d)
Q1. Calculate the volume of a cube with sides of length 7cm
Q2. 3277 + 1459
Q3. Solve 7g + 2 = 16
Q4. State the value of 3g2 when g = 4
Q5. Write out the 5 times table up to 5 x 12
Daily Practice 6.10.2014
S2 (2.4) L2 Fractions & Percentages.notebook December 02, 2014
Questions: Simplify the following
(a) (d) (g)
(b) (e) (h)
(c) (f) (i)
Simplifying Fractions
Equivalent Fractions
An equivalent fraction is just another way of writing a fraction.
For example
If you multiply top and bottom by the same number (it can be any number), you will get an equivalent fraction.
Examples: Write two equivalent fractions for the following
Questions: Write equivalent fractions for the following
(a) (d) (g)
(b) (e) (h)
(c) (f) (i)
Equivalent FractionsDaily Practice 7.10.2014
Q1. 78.22 + 38.313
Q2. Calculate the volume of this cuboid
Q3. Simplify the fraction
Q4. 320 ÷ 50
Q5. Simplify 3m + 2m - 1m + 10m
10cm4cm
5cm
Today we will be learning how to compare fractions.
Homework Due Friday
S2 (2.4) L2 Fractions & Percentages.notebook December 02, 2014
Comparing Fractions Comparing Fractions
Comparing Fractions Daily Practice 9.10.2014
Q1. Round 87.226 to 2 decimal places
Q2. Calculate the volume of a cuboid with length 6cm, breadth 7cm and height 5cm
Q3. Solve 5x - 1 = 19
Q4. Find the value of 4d2 - 2 when d = 3
Q5. Simplify the fraction
Today we will be converting fractions so that we can compare
them numerically.
Homework Due tomorrow!
Comparing Fractions
To compare two fractions in terms of size, they need to have the same denominator.
We can find the common denominator by finding the LCM of both the denominators.
Examples:
1. 2.
and and
S2 (2.4) L2 Fractions & Percentages.notebook December 02, 2014
Comparing Fractions
For the following fractions:
1. Convert your fractions so that they have a common denominator.
2. Write down a <, >, or = sign between these fractions to show which is bigger or if they are equal.