Question

`1. ) \: (4)/(5) + (2)/(3) =`


`2. )4 \: (8)/(12) + 3 (1)/(6) =`


`3. (13)/(17) + (3)/(4) =`


`4. 23 (1)/(5) - 7 (1)/(4) =`

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With Solution!!​

Answer 1

1. 4/5+2/3=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(4/5, 2/3) = 15

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(45×33)+(23×55)=?

Complete the multiplication and the equation becomes

12/15+10/15=?

The two fractions now have like denominators so you can add the numerators.

Then: 12+10/15=22/15

This fraction cannot be reduced. The fraction

22/15 is the same as 22÷15

Convert to a mixed number using long division for 22 ÷ 15 = 1R7, so

22/15=17/15

Therefore: 4/5+2/3=17/15

Solution by Formulas Apply the fractions formula for addition, to 4/5+2/3 and solve

(4×3)+(2×5)/5×3

=12+10/15

=22/15 Convert to a mixed number using long division for 22 ÷ 15 = 1R7, so 22/15=17/15 Therefore:4/5+2/3=1 7/15

Explanation:

Answer 2

See below.

Explanation:

1.

• 4/5 + 2/3
• 12/15 + 10/15
• 22/15 or 1 7/15

2.

• 4 8/12 + 3 1/6
• 4 2/3 + 3 1/6
• 14/3 + 19/6
• 28/6 + 19/6
• 47/6 or 7 5/6

3.

• 13/17 + 3/4
• 52/68 + 51/68
• 103/68 or 1 35/68

4.

• 23 1/5 - 7 1/4
• 116/5 - 29/4
• 23.2 - 7.25
• 15.95
• 319/20 or 15 19/20