+brainliest sa tama sagot at kompletong sagot (WITH SOLUTION)
Fraction:
a. Find the sum: Express your answer in its simplest form.
1. ⁵/₁₂ + ⁹/₁₂ = n
2. 4 ⅙ + 4 ⅑ = n
3. 10 ⅔ + 5 ⁶/₇ = n
4. 8 ⅖ + 2 ⅚ = n
5. ¾ + 7 ⅑ = n
b. Subtract the following fractions then simplify if needed.
1. ¹⁷/₂₁ - ⁵/₂₁ = n
2. 12 ¾ - 7 ³/₈ = n
3. 7 ²/₁₀ - 1 ⁵/₆ = n
4. 3 ⁴/₈ - ⅔ = n
5. 9 ⅚ - 4 ⅘ = n
c. Multiply. Find its lowest term if needed:
1. 30 x ⅚ = n
2. ⅖ x ⅙ = n
3. ⁴/₇ x ¹⁴/₁₈ = n
4. 3 ³/₄ x ²⁴/₃₀ = n
5. 2 ⅐ x 3 ⅘ = n
d. Divide the following fractions:
1. ⅚ ÷ ⅔ = n
2. ²⁸/₃₆ ÷ 4 = n
3. 12 ÷ ⅗ = n
4. ⅜ ÷ ⁹/₁₆ = n
5. ⁶/₁₀ ÷ 18 = n
e. Word Problems
1. A plumber cuts a ⅞ m pipe into several pieces that are ¹/₁₆ m long. How many pieces of pipes can be cut?
2. Matthew ran ⅙ of a mile then took a break before running another ¾ of a mile. How far did Matthew run in all?
3. Mr Ignacio brought home ⅔ of a cake from his work to give it to his family. He shared ¼ of it with his wife. What part of the cake did he share with his wife?
4. Raiza collected 4 ½ kilograms of filberts. He gave 2 ¾ kilograms to his friend. How many kilograms of filberts does Raiza have now?
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Answer:
A.
1. 5/12 + 9/12
Add.
14/12
Simplify.
=7/6
2. 4⅙ + 4⅑
Convert both mixed fractions to improper fractions.
25/6 + 37/9
The LCD of 6 and 9 is 18.
75/18 + 74/18
Add.
= 149/18
3. 10⅔ + 5 6/7
Convert both mixed fractions to improper fractions.
32/3 + 41/7
The LCD of 3 and 7 is 21.
224/21 + 123/21
Add.
= 347/21
4. 8⅖ + 2⅚
Convert both mixed fractions to improper fractions.
42/5 + 17/6
The LCD of 5 and 6 is 30.
252/30 + 85/30
Add.
= 337/30
5. ¾ + 7⅑
Convert 7⅑ into an improper fraction.
¾ + 64/9
The LCD of 4 and 9 is 36.
27/36 + 256/36
Add.
= 283/36
B.
1. 17/21 - 5/21
Subtract.
12/21
Simplify.
= 4/7
2. 12¾ - 7⅜
Convert both mixed fractions to improper fractions.
51/4 - 59/8
The LCD of 4 and 8 is 8.
102/8 - 59/8
Subtract.
= 43/8
3. 7 2/10 - 1⅚
Convert both mixed fractions to improper fractions.
72/10 - 11/6
Simplify 72/10
36/5 - 11/6
The LCD of 5 and 6 is 30.
216/30 - 55/30
Subtract.
= 161/30
4. 3 4/8 - ⅔
Convert 3 4/8 into an improper fraction.
28/8 - ⅔
The LCD of 3 and 8 is 24.
84/24 - 16/24
Subtract.
68/24
Simplify.
= 17/6
5. 9⅚ - 4⅘
Convert both mixed fractions to improper fractions.
59/6 - 24/5
The LCD of 5 and 6 is 30.
295/30 - 144/30
Subtract.
= 151/30
C.
1. 30(⅚)
Multiply 30 by the numerator.
150/6
Divide.
= 25
2. ⅖(⅙)
Multiply the numerator and denominator.
2/30
Simplify.
= 1/15
3. 4/7(14/18)
Multiply the numerator and denominator.
56/112
Simplify.
= ½
4. 3¾(24/30)
Convert 3¾ into an improper fraction.
15/4(24/30)
Multiply the numerator and denominator.
360/120
Divide.
= 3
5. 2⅐(3⅘)
Convert both mixed fractions into improper fractions.
15/7(19/5)
Multiply the numerator and denominator.
285/35
Simplify.
= 57/7
D.
1. ⅚ / ⅔
To divide by a fraction, multiply by the reciprocal of that fraction.
⅚(3/2)
Multiply the numerator and denominator.
15/12
Simplify.
= 5/4
2. (28/36) / 4
Simplify 28/36.
(7/9) / 4
To divide by a fraction, multiply by the reciprocal of that fraction.
7/9(¼)
Multiply the numerator and denominator.
= 7/36
3. 12 / ⅗
To divide by a fraction, multiply by the reciprocal of that fraction.
12(5/3)
Multiply 12 by the numerator.
60/3
Divide.
= 20
4. ⅜ / 9/16
To divide by a fraction, multiply by the reciprocal of that fraction.
⅜(16/9)
Multiply the numerator and denominator.
48/72
Simplify.
= ⅔
5. 6/10 / 18
Convert 18 into a fraction.
(6/10) / (18/1)
To divide by a fraction, multiply by the reciprocal of that fraction.
(6/10)(1/18)
Multiply the numerator and denominator.
6/180
Simplify.
= 1/30
E.
1. ⅞ / 1/16
To divide by a fraction, multiply by the reciprocal of that fraction.
⅞(16)
Multiply 16 by the numerator.
112/8
Divide.
= 14m
2. ⅙ + ¾
The LCD of 6 and 4 is 12.
2/12 + 9/12
Add.
= 11/12mi
3. ⅔ - ¼
The LCD if 3 and 4 is 12.
8/12 - 3/12
Subtract.
= 5/12
4. 4½ - 2¾
Convert the mixed fractions to improper fractions.
9/2 - 11/4
The LCD of 2 and 4 is 4.
18/4 - 11/4
Subtract.
= 7/4kg