Fractions Problems on Addition and Subtraction

Before we read about Fractions Problems on Addition and Subtraction... Let me help you understand what is all about Fractions and how is it connected to Addition and Subtraction.

What is Fraction: -

A fraction is a number that is the portion or part of a whole. Key to understanding fractions is understanding how to represent part of the whole. Sometimes the whole will be a pizza, a measuring cup, a bar and it is important to understand what the part is each time the whole is different.

When starting with fractions, begin by focusing on 1/2 and the 1/4 before moving into equivalent fractions and using the 4 operations with fractions (adding, subtracting, multiplying and dividing)

Let me also show you one example on fractions problems on addition and subtraction.

Question -

Multiply the fractions and and reduce the final answer if possible

Solution:-

Given we need to multiply the fractions and 70/5 and 30/5

Fractions can be multiplied using this formula a.c/b.d

Here a = 70, b = 5, c= 30, d= 5.

= a.c/b.d

= 70.30/5.5 by solving it we get

= 2100/25

It can be reduced further as

= 84

Note on Subtracting Integers

Subtracting Integers

Before we start with subtraction Integers, let us review the terms of Subtraction.

Minuend: The first number from which the second number must be subtracted is called the minuend.

Subtrahend: The second number that is the number that has to be subtracted is called as the subtrahend.

Difference: The answer of subtraction.

To subtract Integers, all we have to do is to add the minuend and the opposite of the subtrahend. Remember that opposite of 5 is -5 and that -9 is 9!

Step 1: Change the sign of the subtrahend. If the subtrahend is positive, then make it negative and if it is negative change it to positive.

Step 2: Change the subtraction sign to addition

Step 3: Follow the rules of addition of Integers.

Addition of Integers

1. If both the numbers have same sign, then add the absolute values and give the common sign to the sum.

2. If the numbers are of opposite signs, then find the difference of the absolute values and give the sign of the number with greater absolute value.

There can be six possible cases.

Case 1: Both the minuend and subtrahend are positive. Like 9 – (+4)

Case 2: Both the minuend and subtrahend are negative. Like -9 – (-4)

Case 3: Minuend is positive and the subtrahend is negative. Like 9 – (-4)

Case 4: Minuend is negative and the subtrahend is positive. Like -9 – (+4)

Case 5: Minuend is zero. Like 0 – (4) or 0 – (-4)

Case 6: Subtrahend is zero. Like 4 – 0 or -4 – 0

Subtraction of Integers can be performed on a number line or using Models like counters or just by following the rules or steps.

Examples

Example 1: Follow rules of subtraction to solve 15 – (-7)

Solution: Step 1: Change the sign of the second number (subtrahend). The opposite of -7 is +7. So -7 is changed to +7

Step 2: Change the subtraction sign to addition. 15 – (-7) = 15 + 7

Step 3: Follow the rules of addition of Integers.

Since both the numbers are positive, we have to add them up and the answer is also positive.

15 + 7 = 22

Measure of an Angle

In this topic .. let me help you go through identifying an angle and Measure of an Angle... This will help you go through the types of angle as well

Identifying an angle

An angle can be identified in two ways.

1. Like this: ∠ABC
   The angle symbol, followed by three points that define the angle, with the middle letter being the vertex, and the other two on the legs. So in the figure above the angle would be ∠ABC or ∠CBA. So long as the vertex is the middle letter, the order is not important. As a shorthand we can use the 'angle' symbol. For example '∠ABC' would be read as 'the angle ABC'.
   
   
2. Or like this: ∠B
   Just by the vertex, so long as it is not ambiguous. So in the figure above the angle could also be called simply '∠B'

Measure of an angle

The size of an angle is measured in degrees (see Angle Measures). When we say 'the angle ABC' we mean the actual angle object. If we want to talk about the size, or measure, of the angle in degrees, we should say 'the measure of the angle ABC' - often written m∠ABC.

However, many times we will see '∠ABC=34°'. Strictly speaking this is an error. It should say 'm∠ABC=34°'

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