1÷3/7-1/4 of 8/3+1/2÷3
Answers
Answer:
Conversion a mixed number 3 1/
2
to a improper fraction: 3 1/2 = 3 1/
2
= 3 · 2 + 1/
2
= 6 + 1/
2
= 7/
2
To find new numerator:
a) Multiply the whole number 3 by the denominator 2. Whole number 3 equally 3 * 2/
2
= 6/
2
b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 2.
Three and one half is seven halfs
Conversion a mixed number 4 1/
7
to a improper fraction: 4 1/7 = 4 1/
7
= 4 · 7 + 1/
7
= 28 + 1/
7
= 29/
7
To find new numerator:
a) Multiply the whole number 4 by the denominator 7. Whole number 4 equally 4 * 7/
7
= 28/
7
b) Add the answer from previous step 28 to the numerator 1. New numerator is 28 + 1 = 29
c) Write a previous answer (new numerator 29) over the denominator 7.
Step-by-step explanation:
3 1/3 ÷ 5/3 - 1/10 of 2 ½ + 7/4
= (3 × 3 + 1)/3 ÷ 5/3 – 1/10 of (2 × 2 + 1)/2 + 7/4
= 10/3 ÷ 5/3 - 1/10 of 5/2 + 7/4
[‘of’ simplified]
= 10/3 × 3/5 – ½ × ½ + 7/4 [‘÷’ simplified]
= 2/1 - ¼ + 7/4 [‘×’ simplified]
= (2 × 4)/1 × 4) - (1 × 1)/4 × 1) + (7 × 1)/4 × 1)
= 8/4 - ¼ + 7/4
[Now the denominators are same of all the fractions]
= (8 – 1 + 7)/4 [‘+’ and ‘-‘ simplified]
= 14/4
= 7/2