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5 1/4 - (-3.55) + (-3 2/5)

2 Answers

4 votes

Answer:

Decimal: 5.4
Fraction: 5 2/5 or 27/5

Explanation:

Decimal:

5 1/4 = 5.25

-3 2/5 = -3.4
5.25 + 3.55 - 3.4 (Simplified)
= 5.4


Fraction:

-3.55 = -71/20 or -3 11/20

5 1/4 + 3 11/20 - 3 2/5 (Simplified)

= 5 2/5

User Theron Luhn
by
6.8k points
4 votes

Answer:

5.4

Explanation:

Conversion a mixed number 3 2/

5

to a improper fraction: 3 2/5 = 3 2/

5

= 3 · 5 + 2/

5

= 15 + 2/

5

= 17/

5

To find a new numerator:

a) Multiply the whole number 3 by the denominator 5. Whole number 3 equally 3 * 5/

5

= 15/

5

b) Add the answer from previous step 15 to the numerator 2. New numerator is 15 + 2 = 17

c) Write a previous answer (new numerator 17) over the denominator 5.

Three and two fifths is seventeen fifths

Conversion a mixed number 5 1/

4

to a improper fraction: 5 1/4 = 5 1/

4

= 5 · 4 + 1/

4

= 20 + 1/

4

= 21/

4

To find a new numerator:

a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4/

4

= 20/

4

b) Add the answer from previous step 20 to the numerator 1. New numerator is 20 + 1 = 21

c) Write a previous answer (new numerator 21) over the denominator 4.

Five and one quarter is twenty-one quarters

Add: 17/

5

+ 21/

4

= 17 · 4/

5 · 4

+ 21 · 5/

4 · 5

= 68/

20

+ 105/

20

= 68 + 105/

20

= 173/

20

It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 4) = 20. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 4 = 20. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seventeen fifths plus twenty-one quarters is one hundred seventy-three twentieths.

User Joel Richman
by
6.6k points
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